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Jing Li - Google Scholar
<!doctype html><html><head><title>Jing Li - Google Scholar</title><meta http-equiv="Content-Type" content="text/html;charset=UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=Edge"><meta name="referrer" content="always"><meta name="viewport" content="width=device-width,initial-scale=1,minimum-scale=1,maximum-scale=2"><meta name="format-detection" content="telephone=no"><link rel="shortcut icon" href="/favicon.ico"><link rel="canonical" href="https://scholar.google.com/citations?user=zC0c3AgAAAAJ&hl=en"><meta name="description" content="Distinguished Professor of Chemistry, Rutgers University - Cited by 47,165 - Inorganic Chemistry - Solid-State Chemistry - Coordination Chemistry - Materials Chemistry"><meta property="og:description" content="Distinguished Professor of Chemistry, Rutgers University - Cited by 47,165 - Inorganic Chemistry - Solid-State Chemistry - Coordination Chemistry - Materials Chemistry"><meta property="og:title" content="Jing Li"><meta property="og:image" 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id="gs_md_err" style="display:none">The system can't perform the operation now. Try again later.</div><div id="gs_md_s"></div><div data-h="0" class="gs_md_wnw gs_md_ds"><div id="gsc_md_hist" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gsc_md_hist-t" data-wfc="gsc_md_hist-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gsc_md_hist-x" role="button" aria-label="Cancel" data-mdx="gsc_md_hist" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gsc_md_hist-t" class="gs_md_hdr_t">Citations per year</h2><div class="gs_md_hdr_b"></div></div><div id="gsc_md_hist-bdy" class="gs_md_bdy"><style>#gsc_md_hist{width:80%;max-width:386px;}#gsc_md_hist_c{position:relative;width:100%;}</style><div id="gsc_md_hist_c"></div></div></div></div><div data-h="600" class="gs_md_wnw gs_md_ds gs_md_wmw"><div id="gsc_md_cbyd" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gsc_md_cbyd-t" data-cid="gsc_md_cbyd_l" data-wfc="gsc_md_cbyd-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gsc_md_cbyd-x" role="button" aria-label="Cancel" data-mdx="gsc_md_cbyd" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gsc_md_cbyd-t" class="gs_md_hdr_t">Duplicate citations</h2><div class="gs_md_hdr_b"></div></div><div id="gsc_md_cbyd-bdy" class="gs_md_bdy"><form id="gsc_md_cbyd_f" action="/citations?hl=en&user=zC0c3AgAAAAJ&view_op=list_works" method="post"><input type="hidden" name="s" value=""><div class="gs_md_lbl">The following articles are merged in Scholar. Their <a id="gsc_md_cbyd_c" href="javascript:void(0)">combined citations</a> are counted only for the first article.</div><div id="gsc_md_cbyd_l"></div></form></div></div></div><div data-h="600" class="gs_md_wnw gs_md_ds gs_md_wmw"><div id="gsc_md_cbym" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gsc_md_cbym-t" data-cid="gsc_md_cbym_l" data-wfc="gsc_md_cbym-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gsc_md_cbym-x" role="button" aria-label="Cancel" data-mdx="gsc_md_cbym" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gsc_md_cbym-t" class="gs_md_hdr_t">Merged citations</h2><div class="gs_md_hdr_b"></div></div><div id="gsc_md_cbym-bdy" class="gs_md_bdy"><div class="gs_md_lbl">This "Cited by" count includes citations to the following articles in Scholar. The ones marked <span id="gsc_md_cbym_s">*</span> may be different from the article in the profile.</div><div id="gsc_md_cbym_l" data-act="/citations?hl=en&user=zC0c3AgAAAAJ&view_op=list_works"></div></div></div></div><div data-h="900" class="gs_md_wnw gs_md_ds gs_md_wmw"><div id="gsc_md_cod" class="gs_md_d gs_md_ds gs_ttzi gsc_cod_lc" role="dialog" tabindex="-1" aria-labelledby="gsc_md_cod-t" data-cid="gsc_cods_res" data-wfc="gsc_md_cod-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gsc_md_cod-x" role="button" aria-label="Cancel" data-mdx="gsc_md_cod" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gsc_md_cod-t" class="gs_md_hdr_t"><span id="gsc_cod_t"><span id="gsc_cod_tadd">Add co-authors</span><span id="gsc_cod_tedit">Co-authors</span><a id="gsc_cod_trev" href="javascript:void(0)" data-txt="Review" data-lim="Limit reached"></a></span></h2><div class="gs_md_hdr_b"><button type="button" id="gsc_cod_done" aria-label="Add co-authors" disabled class="gs_btnDNW gs_in_ib gs_btn_act gs_btn_half gs_btn_lsb"><span class="gs_wr"><span class="gs_ico"></span><span class="gs_lbl"></span></span></button></div></div><div id="gsc_md_cod-bdy" class="gs_md_bdy"><div id="gsc_cods_urls" class="gsc_cods_hide" data-ls="" data-lc="/citations?view_op=list_colleagues&hl=en&json=&user=zC0c3AgAAAAJ" data-sa=""></div><form id="gsc_cods_save" action="" method="POST"><input type="hidden" name="colleague_add"><input type="hidden" name="colleague_del"></form><div id="gsc_cods_res"></div></div></div></div><div data-h="800" class="gs_md_wnw gs_md_ds gs_md_wmw"><div id="gs_md_cita-d" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gs_md_cita-d-t" data-cid="gs_md_cita-l" data-wfc="gs_md_cita-d-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gs_md_cita-d-x" role="button" aria-label="Cancel" data-mdx="gs_md_cita-d" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gs_md_cita-d-t" class="gs_md_hdr_t"></h2><div class="gs_md_hdr_b"><button type="button" id="gs_md_cita-b-save" aria-label="Save" class="gs_btnDNW gs_in_ib gs_btn_act gs_btn_half gs_btn_lsb"><span class="gs_wr"><span class="gs_ico"></span><span class="gs_lbl"></span></span></button></div></div><div id="gs_md_cita-d-bdy" class="gs_md_bdy"><style>#gs_md_cita-d{width:90%;max-width:1000px;}.gs_el_ph #gs_md_cita-d{width:100%;max-width:none;}#gs_md_cita-d .gs_md_prg{min-height:600px;}</style><div id="gs_md_cita-l" aria-live="assertive"></div></div></div></div><div data-h="0" class="gs_md_wnw gs_md_ds gs_md_wmw"><div id="gsc_md_fol" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gsc_md_fol-t" data-wfc="gsc_md_fol-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gsc_md_fol-x" role="button" aria-label="Cancel" data-mdx="gsc_md_fol" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gsc_md_fol-t" class="gs_md_hdr_t">Follow</h2><div class="gs_md_hdr_b"></div></div><div id="gsc_md_fol-bdy" class="gs_md_bdy"><form method="post" id="gsc_fol_f" action="/citations?hl=en&user=zC0c3AgAAAAJ&view_op=list_works"><input type="hidden" name="xsrf" value="ADIE8skAAAAAZ0hSwprsueMYyNroGe1ckV0RD6U"><input type="hidden" name="user" value="zC0c3AgAAAAJ"><div id="gsc_fol_inp"></div><div id="gsc_fol_cb"><div class="gsc_fol_cr"><a href="javascript:void(0)" id="gsc_fol_a" role="checkbox" aria-checked="false" data-s="0" class="gs_cb_gen gs_in_cb"><span class="gs_lbl">New articles by this author</span><span class="gs_chk"></span><span class="gs_cbx"></span></a></div><div class="gsc_fol_cr"><a href="javascript:void(0)" id="gsc_fol_c" role="checkbox" aria-checked="false" data-s="0" 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class="gs_lbl">My profile</span></a><a href="/scholar?scilib=1&hl=en" role="menuitem" class="gs_btnL gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">My library</span></a><a href="/citations?view_op=metrics_intro&hl=en" role="menuitem" class="gs_btnJ gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">Metrics</span></a><a href="/scholar_alerts?view_op=list_alerts&hl=en" role="menuitem" class="gs_btnM gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">Alerts</span></a></div><div class="gs_hdr_drw_sec"><a href="/scholar_settings?hl=en" role="menuitem" class="gs_btnP gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">Settings</span></a></div></div><div id="gs_hdr_drw_bot" class="gs_hdr_drw_sec"><a 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id="gsc_rsb_cit" role="region" aria-labelledby="gsc_prf_t-cit"><h3 class="gsc_rsb_header"><span class="gsc_rsb_title">Cited by</span><button type="button" id="gsc_hist_opn" class=" gs_btn_flat gs_btn_flact gs_btn_lrge gs_btn_half gs_btn_lsu gsc_rsb_action"><span class="gs_wr"><span class="gs_lbl">View all</span></span></button></h3><table id="gsc_rsb_st"><thead><tr><th class="gsc_rsb_sth"></th><th class="gsc_rsb_sth">All</th><th class="gsc_rsb_sth">Since 2019</th></tr></thead><tbody><tr><td class="gsc_rsb_sc1"><a href="javascript:void(0)" class="gsc_rsb_f gs_ibl" title="This is the number of citations to all publications. The second column has the "recent" version of this metric which is the number of new citations in the last 5 years to all publications.">Citations</a></td><td class="gsc_rsb_std">47165</td><td class="gsc_rsb_std">22776</td></tr><tr><td class="gsc_rsb_sc1"><a href="javascript:void(0)" class="gsc_rsb_f gs_ibl" title="h-index is the largest number h such that h publications have at least h citations. The second column has the "recent" version of this metric which is the largest number h such that h publications have at least h new citations in the last 5 years.">h-index</a></td><td class="gsc_rsb_std">106</td><td class="gsc_rsb_std">68</td></tr><tr><td class="gsc_rsb_sc1"><a href="javascript:void(0)" class="gsc_rsb_f gs_ibl" title="i10-index is the number of publications with at least 10 citations. The second column has the "recent" version of this metric which is the number of publications that have received at least 10 new citations in the last 5 years.">i10-index</a></td><td class="gsc_rsb_std">368</td><td class="gsc_rsb_std">276</td></tr></tbody></table><style>.gsc_g_t{position:absolute;bottom:0;color:#777;font-size:11px;}.gsc_g_a{position:absolute;bottom:13px;width:15px;background:#777;}.gsc_g_a:hover,.gsc_g_a:focus,.gsc_g_a:active{text-decoration:none;cursor:default;}.gsc_g_al{position:absolute;bottom:15px;left:7px;color:#222;background:white;font-size:11px;padding:1px;border:1px solid #777;border-radius:1px;visibility:hidden;opacity:0;transition:opacity .218s,visibility 0s .218s;}.gsc_g_a:hover .gsc_g_al,.gsc_g_a:focus .gsc_g_al,.gsc_g_a:active .gsc_g_al{visibility:visible;opacity:1;transition:all 0s;}#gsc_md_hist{max-width:838px;}.gsc_md_hist_w{position:relative;overflow:hidden;margin-right:43px;}.gs_md_bdy .gsc_md_hist_w,.gs_el_ph .gsc_md_hist_w,.gs_el_ta .gsc_md_hist_w{overflow-x:auto;padding-bottom:16px;}.gsc_md_hist_b{position:relative;height:174px;width:100%;}.gsc_md_hist_b .gsc_g_a{bottom:auto;}.gsc_md_hist_b .gsc_g_t{bottom:auto;top:161px;}.gsc_md_hist_b:after{position:absolute;right:792px;content:"\00A0";}.gsc_g_hist_x{position:relative;margin-right:45px;}.gsc_g_hist_xl{position:absolute;right:8px;width:35px;}.gs_el_ta .gsc_g_hist_xl,.gs_el_ph .gsc_g_hist_xl{right:16px;}.gsc_g_hist_wrp{padding-top:32px;position:relative;}.gs_el_ta .gsc_g_hist_wrp,.gs_el_ph .gsc_g_hist_wrp{padding-right:8px;}.gs_md_bdy .gsc_g_hist_wrp{border-top:0;}.gs_el_tc .gs_md_bdy .gsc_g_hist_wrp:after,.gs_el_tc.gs_el_ph .gsc_g_hist_wrp:after,.gs_el_tc.gs_el_ta .gsc_g_hist_wrp:after{display:block;content:"";position:absolute;z-index:100;top:0;left:0;width:20px;height:100%;background-image:linear-gradient(to left,rgba(255,255,255,0),rgba(255,255,255,1) 80%);}.gsc_g_x,.gsc_g_xt{position:absolute;left:0;border-bottom:1px solid #eee;width:100%;text-align:right;}.gsc_g_x{border-bottom:1px solid #eee;}.gsc_g_xtl{position:absolute;color:#777;}.gsc_g_gtr{position:absolute;}.gsc_g_a:last-child .gsc_g_al{right:0;left:auto;}</style><div class="gsc_g_hist_wrp" dir="rtl"><div class="gsc_g_hist_x"><div class="gsc_g_x" style="top:160px;"></div><div class="gsc_g_xt" style="top:0px;"></div><div class="gsc_g_xt" style="top:80px;"></div><div class="gsc_g_xt" style="top:120px;"></div><div class="gsc_g_xt" style="top:40px;"></div></div><div class="gsc_g_hist_xl"><div class="gsc_g_xtl" style="top:153px;">0</div><div class="gsc_g_xtl" style="top:-7px;">4100</div><div class="gsc_g_xtl" style="top:73px;">2050</div><div class="gsc_g_xtl" style="top:113px;">1025</div><div class="gsc_g_xtl" style="top:33px;">3075</div></div><div class="gsc_md_hist_w"><div class="gsc_md_hist_b"><span class="gsc_g_t" style="right:739px">2001</span><span class="gsc_g_t" style="right:707px">2002</span><span class="gsc_g_t" style="right:675px">2003</span><span class="gsc_g_t" style="right:643px">2004</span><span class="gsc_g_t" style="right:611px">2005</span><span class="gsc_g_t" style="right:579px">2006</span><span class="gsc_g_t" style="right:547px">2007</span><span class="gsc_g_t" style="right:515px">2008</span><span class="gsc_g_t" style="right:483px">2009</span><span class="gsc_g_t" style="right:451px">2010</span><span class="gsc_g_t" style="right:419px">2011</span><span class="gsc_g_t" style="right:387px">2012</span><span class="gsc_g_t" style="right:355px">2013</span><span class="gsc_g_t" style="right:323px">2014</span><span class="gsc_g_t" style="right:291px">2015</span><span class="gsc_g_t" style="right:259px">2016</span><span class="gsc_g_t" style="right:227px">2017</span><span class="gsc_g_t" style="right:195px">2018</span><span class="gsc_g_t" style="right:163px">2019</span><span class="gsc_g_t" style="right:131px">2020</span><span class="gsc_g_t" style="right:99px">2021</span><span class="gsc_g_t" style="right:67px">2022</span><span class="gsc_g_t" style="right:35px">2023</span><span class="gsc_g_t" style="right:3px">2024</span><a href="javascript:void(0)" class="gsc_g_a" style="right:744px;top:155px;height:5px;z-index:24"><span class="gsc_g_al">131</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:712px;top:154px;height:6px;z-index:23"><span class="gsc_g_al">179</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:680px;top:149px;height:11px;z-index:22"><span class="gsc_g_al">291</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:648px;top:147px;height:13px;z-index:21"><span class="gsc_g_al">352</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:616px;top:145px;height:15px;z-index:20"><span class="gsc_g_al">395</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:584px;top:141px;height:19px;z-index:19"><span class="gsc_g_al">512</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:552px;top:137px;height:23px;z-index:18"><span class="gsc_g_al">594</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:520px;top:133px;height:27px;z-index:17"><span class="gsc_g_al">713</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:488px;top:121px;height:39px;z-index:16"><span class="gsc_g_al">1019</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:456px;top:119px;height:41px;z-index:15"><span class="gsc_g_al">1064</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:424px;top:112px;height:48px;z-index:14"><span class="gsc_g_al">1251</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:392px;top:100px;height:60px;z-index:13"><span class="gsc_g_al">1547</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:360px;top:87px;height:73px;z-index:12"><span class="gsc_g_al">1886</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:328px;top:79px;height:81px;z-index:11"><span class="gsc_g_al">2078</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:296px;top:57px;height:103px;z-index:10"><span class="gsc_g_al">2663</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:264px;top:51px;height:109px;z-index:9"><span class="gsc_g_al">2812</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:232px;top:51px;height:109px;z-index:8"><span class="gsc_g_al">2813</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:200px;top:26px;height:134px;z-index:7"><span class="gsc_g_al">3436</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:168px;top:26px;height:134px;z-index:6"><span class="gsc_g_al">3457</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:136px;top:20px;height:140px;z-index:5"><span class="gsc_g_al">3600</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:104px;top:2px;height:158px;z-index:4"><span class="gsc_g_al">4057</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:72px;top:1px;height:159px;z-index:3"><span class="gsc_g_al">4077</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:40px;top:11px;height:149px;z-index:2"><span class="gsc_g_al">3822</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:8px;top:17px;height:143px;z-index:1"><span class="gsc_g_al">3676</span></a></div></div></div></div><div class="gsc_rsb_s gsc_prf_pnl" id="gsc_rsb_mnd" role="region" aria-labelledby="gsc_prf_t-mnd"><div class="gsc_rsb_header gsc_rsb_m_header"><div class="gsc_rsb_m_title">Public access</div><a href="/citations?view_op=list_mandates&hl=en&user=zC0c3AgAAAAJ" id="gsc_lwp_mndt_lnk">View all</a></div><div class="gsc_rsb_hm gs_ota gs_oph"><button type="button" onclick="window.location='/citations?view_op\x3dlist_mandates\x26hl\x3den\x26user\x3dzC0c3AgAAAAJ'" class=" gs_btn_flat gs_btn_flact gs_btn_lrge gs_btn_half gs_btn_lsu"><span class="gs_wr"><span class="gs_lbl">View all</span></span></button></div><div class="gsc_rsb_m"><div class="gsc_rsb_m_a"><span>132 articles</span></div><div class="gsc_rsb_m_na"><div>39 articles</div></div><div class="gsc_rsb_m_bar"><div class="gsc_rsb_m_bar_na" style="width:23%"></div></div><div class="gsc_rsb_m_a"><span>available</span></div><div class="gsc_rsb_m_na"><span>not available</span></div><div class="gsc_rsb_m_desc">Based on funding mandates</div></div></div><div class="gsc_rsb_s gsc_prf_pnl" id="gsc_rsb_co" role="region" aria-labelledby="gsc_prf_t-ath"><h3 class="gsc_rsb_header"><span class="gsc_rsb_title">Co-authors</span><button type="button" id="gsc_coauth_opn" class=" gs_btn_flat gs_btn_flact gs_btn_lrge gs_btn_half gs_btn_lsu gsc_rsb_action"><span class="gs_wr"><span class="gs_lbl">View all</span></span></button></h3><ul class="gsc_rsb_a"><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-h91qfB8AAAAJ-img{width:32px;height:21px;}.gs_el_ta #gsc_rsb-h91qfB8AAAAJ-img,.gs_el_ph #gsc_rsb-h91qfB8AAAAJ-img{width:56px;height:37px;}</style><span id="gsc_rsb-h91qfB8AAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Timo Thonhauser" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-h91qfB8AAAAJ-img" class="gs_pp_df" data-src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=h91qfB8AAAAJ&citpid=7" data-srcset="https://scholar.googleusercontent.com/citations?view_op=tiny_photo&user=h91qfB8AAAAJ&citpid=7 32w,https://scholar.googleusercontent.com/citations?view_op=small_photo&user=h91qfB8AAAAJ&citpid=7 56w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=h91qfB8AAAAJ&citpid=7 128w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=h91qfB8AAAAJ&hl=en">Timo Thonhauser</a><span class="gsc_rsb_a_ext">Wright Family Professor of Physics, Wake Forest University</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at wfu.edu</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-F9AVx8cAAAAJ-img{width:32px;height:32px;}.gs_el_ta #gsc_rsb-F9AVx8cAAAAJ-img,.gs_el_ph #gsc_rsb-F9AVx8cAAAAJ-img{width:56px;height:56px;}</style><span id="gsc_rsb-F9AVx8cAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="long pan" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-F9AVx8cAAAAJ-img" class="gs_pp_df" data-src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=F9AVx8cAAAAJ&citpid=12" data-srcset="https://scholar.googleusercontent.com/citations?view_op=tiny_photo&user=F9AVx8cAAAAJ&citpid=12 32w,https://scholar.googleusercontent.com/citations?view_op=small_photo&user=F9AVx8cAAAAJ&citpid=12 56w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=F9AVx8cAAAAJ&citpid=12 127w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=F9AVx8cAAAAJ&hl=en">long pan</a><span class="gsc_rsb_a_ext">Colgate Palmolive Co</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at colpal.com</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-xlyN29MAAAAJ-img{width:32px;height:32px;}.gs_el_ta #gsc_rsb-xlyN29MAAAAJ-img,.gs_el_ph #gsc_rsb-xlyN29MAAAAJ-img{width:56px;height:56px;}</style><span id="gsc_rsb-xlyN29MAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Yves Jean Chabal" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-xlyN29MAAAAJ-img" class="gs_pp_df" data-src="/citations/images/avatar_scholar_56.png" data-srcset="/citations/images/avatar_scholar_32.png 32w,/citations/images/avatar_scholar_56.png 56w,/citations/images/avatar_scholar_128.png 128w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=xlyN29MAAAAJ&hl=en">Yves Jean Chabal</a><span class="gsc_rsb_a_ext">University of Texas at Dallas</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at utdallas.edu</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-zOlYjkYAAAAJ-img{width:32px;height:21px;}.gs_el_ta #gsc_rsb-zOlYjkYAAAAJ-img,.gs_el_ph #gsc_rsb-zOlYjkYAAAAJ-img{width:56px;height:37px;}</style><span id="gsc_rsb-zOlYjkYAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Dr. Kui Tan" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-zOlYjkYAAAAJ-img" class="gs_pp_df" data-src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=zOlYjkYAAAAJ&citpid=6" data-srcset="https://scholar.googleusercontent.com/citations?view_op=tiny_photo&user=zOlYjkYAAAAJ&citpid=6 32w,https://scholar.googleusercontent.com/citations?view_op=small_photo&user=zOlYjkYAAAAJ&citpid=6 56w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=zOlYjkYAAAAJ&citpid=6 128w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=zOlYjkYAAAAJ&hl=en">Dr. Kui Tan</a><span class="gsc_rsb_a_ext">University of North Texas</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at unt.edu</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-TQaDEDYAAAAJ-img{width:32px;height:32px;}.gs_el_ta #gsc_rsb-TQaDEDYAAAAJ-img,.gs_el_ph #gsc_rsb-TQaDEDYAAAAJ-img{width:56px;height:56px;}</style><span id="gsc_rsb-TQaDEDYAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Haohan Wu" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-TQaDEDYAAAAJ-img" class="gs_pp_df" data-src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=TQaDEDYAAAAJ&citpid=1" data-srcset="https://scholar.googleusercontent.com/citations?view_op=tiny_photo&user=TQaDEDYAAAAJ&citpid=1 32w,https://scholar.googleusercontent.com/citations?view_op=small_photo&user=TQaDEDYAAAAJ&citpid=1 56w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=TQaDEDYAAAAJ&citpid=1 128w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=TQaDEDYAAAAJ&hl=en">Haohan Wu</a><span class="gsc_rsb_a_ext">Postdoctoral Researcher of Materials Science and Engineering, Rutgers University</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at eden.rutgers.edu</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-s9dYAhkAAAAJ-img{width:23px;height:32px;}.gs_el_ta #gsc_rsb-s9dYAhkAAAAJ-img,.gs_el_ph #gsc_rsb-s9dYAhkAAAAJ-img{width:40px;height:56px;}</style><span id="gsc_rsb-s9dYAhkAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Wei Liu" sizes="(max-width:981px) 40px,23px" src="/scholar/images/cleardot.gif" id="gsc_rsb-s9dYAhkAAAAJ-img" class="gs_pp_df" data-src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=s9dYAhkAAAAJ&citpid=4" data-srcset="https://scholar.googleusercontent.com/citations?view_op=tiny_photo&user=s9dYAhkAAAAJ&citpid=4 23w,https://scholar.googleusercontent.com/citations?view_op=small_photo&user=s9dYAhkAAAAJ&citpid=4 40w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=s9dYAhkAAAAJ&citpid=4 92w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=s9dYAhkAAAAJ&hl=en">Wei Liu</a><span class="gsc_rsb_a_ext">Sun Yat-Sen University</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at mail.sysu.edu.cn</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-5Du2AhMAAAAJ-img{width:32px;height:32px;}.gs_el_ta #gsc_rsb-5Du2AhMAAAAJ-img,.gs_el_ph #gsc_rsb-5Du2AhMAAAAJ-img{width:56px;height:56px;}</style><span id="gsc_rsb-5Du2AhMAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Zhichao Hu" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-5Du2AhMAAAAJ-img" class="gs_pp_df" data-src="/citations/images/avatar_scholar_56.png" data-srcset="/citations/images/avatar_scholar_32.png 32w,/citations/images/avatar_scholar_56.png 56w,/citations/images/avatar_scholar_128.png 128w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=5Du2AhMAAAAJ&hl=en">Zhichao Hu</a><span class="gsc_rsb_a_ext">Colgate-Palmolive</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at colpal.com</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-7jye64cAAAAJ-img{width:25px;height:32px;}.gs_el_ta #gsc_rsb-7jye64cAAAAJ-img,.gs_el_ph #gsc_rsb-7jye64cAAAAJ-img{width:44px;height:56px;}</style><span id="gsc_rsb-7jye64cAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Davide M Proserpio" sizes="(max-width:981px) 44px,25px" src="/scholar/images/cleardot.gif" id="gsc_rsb-7jye64cAAAAJ-img" class="gs_pp_df" data-src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=7jye64cAAAAJ&citpid=2" data-srcset="https://scholar.googleusercontent.com/citations?view_op=tiny_photo&user=7jye64cAAAAJ&citpid=2 25w,https://scholar.googleusercontent.com/citations?view_op=small_photo&user=7jye64cAAAAJ&citpid=2 44w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=7jye64cAAAAJ&citpid=2 100w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=7jye64cAAAAJ&hl=en">Davide M Proserpio</a><span class="gsc_rsb_a_ext">Università degli Studi di Milano, Dipartimento di Chimica (Italy)</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at unimi.it</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-2r3fbZwAAAAJ-img{width:32px;height:21px;}.gs_el_ta #gsc_rsb-2r3fbZwAAAAJ-img,.gs_el_ph #gsc_rsb-2r3fbZwAAAAJ-img{width:56px;height:37px;}</style><span id="gsc_rsb-2r3fbZwAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Debasis Banerjee" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-2r3fbZwAAAAJ-img" class="gs_pp_df" data-src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=2r3fbZwAAAAJ&citpid=2" data-srcset="https://scholar.googleusercontent.com/citations?view_op=tiny_photo&user=2r3fbZwAAAAJ&citpid=2 32w,https://scholar.googleusercontent.com/citations?view_op=small_photo&user=2r3fbZwAAAAJ&citpid=2 56w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=2r3fbZwAAAAJ&citpid=2 128w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=2r3fbZwAAAAJ&hl=en">Debasis Banerjee</a><span class="gsc_rsb_a_ext">Sandia National Laboratory</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at sandia.gov</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-ex4LuTEAAAAJ-img{width:30px;height:32px;}.gs_el_ta #gsc_rsb-ex4LuTEAAAAJ-img,.gs_el_ph #gsc_rsb-ex4LuTEAAAAJ-img{width:53px;height:56px;}</style><span id="gsc_rsb-ex4LuTEAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Yu Han" sizes="(max-width:981px) 53px,30px" src="/scholar/images/cleardot.gif" id="gsc_rsb-ex4LuTEAAAAJ-img" class="gs_pp_df" data-src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=ex4LuTEAAAAJ&citpid=3" data-srcset="https://scholar.googleusercontent.com/citations?view_op=tiny_photo&user=ex4LuTEAAAAJ&citpid=3 30w,https://scholar.googleusercontent.com/citations?view_op=small_photo&user=ex4LuTEAAAAJ&citpid=3 53w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=ex4LuTEAAAAJ&citpid=3 122w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=ex4LuTEAAAAJ&hl=en">Yu Han</a><span class="gsc_rsb_a_ext">Professor of Chemistry, South China University of Technology</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at scut.edu.cn</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-i0aksDcAAAAJ-img{width:32px;height:32px;}.gs_el_ta #gsc_rsb-i0aksDcAAAAJ-img,.gs_el_ph #gsc_rsb-i0aksDcAAAAJ-img{width:56px;height:56px;}</style><span id="gsc_rsb-i0aksDcAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Stephanie Jensen" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-i0aksDcAAAAJ-img" class="gs_pp_df" data-src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=i0aksDcAAAAJ&citpid=3" data-srcset="https://scholar.googleusercontent.com/citations?view_op=tiny_photo&user=i0aksDcAAAAJ&citpid=3 32w,https://scholar.googleusercontent.com/citations?view_op=small_photo&user=i0aksDcAAAAJ&citpid=3 56w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=i0aksDcAAAAJ&citpid=3 128w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=i0aksDcAAAAJ&hl=en">Stephanie Jensen</a><span class="gsc_rsb_a_ext">Department of Physics, Wake Forest University</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at wfu.edu</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-p12MsFsAAAAJ-img{width:26px;height:32px;}.gs_el_ta #gsc_rsb-p12MsFsAAAAJ-img,.gs_el_ph #gsc_rsb-p12MsFsAAAAJ-img{width:45px;height:56px;}</style><span id="gsc_rsb-p12MsFsAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Nathan Rudd" sizes="(max-width:981px) 45px,26px" src="/scholar/images/cleardot.gif" id="gsc_rsb-p12MsFsAAAAJ-img" class="gs_pp_df" data-src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=p12MsFsAAAAJ&citpid=2" data-srcset="https://scholar.googleusercontent.com/citations?view_op=tiny_photo&user=p12MsFsAAAAJ&citpid=2 26w,https://scholar.googleusercontent.com/citations?view_op=small_photo&user=p12MsFsAAAAJ&citpid=2 45w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=p12MsFsAAAAJ&citpid=2 103w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=p12MsFsAAAAJ&hl=en">Nathan Rudd</a><span class="gsc_rsb_a_ext">Senior Scientist at Merck & Co., Inc.</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at merck.com</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-GpRjrM4AAAAJ-img{width:32px;height:32px;}.gs_el_ta #gsc_rsb-GpRjrM4AAAAJ-img,.gs_el_ph #gsc_rsb-GpRjrM4AAAAJ-img{width:56px;height:56px;}</style><span id="gsc_rsb-GpRjrM4AAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Daniel Wooseok Ki" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-GpRjrM4AAAAJ-img" class="gs_pp_df" data-src="/citations/images/avatar_scholar_56.png" data-srcset="/citations/images/avatar_scholar_32.png 32w,/citations/images/avatar_scholar_56.png 56w,/citations/images/avatar_scholar_128.png 128w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=GpRjrM4AAAAJ&hl=en">Daniel Wooseok Ki</a><span class="gsc_rsb_a_ext">Stockton University</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at stockton.edu</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-bnEhqEAAAAAJ-img{width:32px;height:32px;}.gs_el_ta #gsc_rsb-bnEhqEAAAAAJ-img,.gs_el_ph #gsc_rsb-bnEhqEAAAAAJ-img{width:56px;height:56px;}</style><span id="gsc_rsb-bnEhqEAAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="John B. Parise" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-bnEhqEAAAAAJ-img" class="gs_pp_df" data-src="/citations/images/avatar_scholar_56.png" data-srcset="/citations/images/avatar_scholar_32.png 32w,/citations/images/avatar_scholar_56.png 56w,/citations/images/avatar_scholar_128.png 128w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=bnEhqEAAAAAJ&hl=en">John B. Parise</a><span class="gsc_rsb_a_ext">Stony brook University</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at stonybrook.edu</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-dk1oba0AAAAJ-img{width:32px;height:32px;}.gs_el_ta #gsc_rsb-dk1oba0AAAAJ-img,.gs_el_ph #gsc_rsb-dk1oba0AAAAJ-img{width:55px;height:56px;}</style><span id="gsc_rsb-dk1oba0AAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Sebastian Zuluaga" sizes="(max-width:981px) 55px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-dk1oba0AAAAJ-img" class="gs_pp_df" data-src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=dk1oba0AAAAJ&citpid=2" data-srcset="https://scholar.googleusercontent.com/citations?view_op=tiny_photo&user=dk1oba0AAAAJ&citpid=2 32w,https://scholar.googleusercontent.com/citations?view_op=small_photo&user=dk1oba0AAAAJ&citpid=2 55w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=dk1oba0AAAAJ&citpid=2 127w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=dk1oba0AAAAJ&hl=en">Sebastian Zuluaga</a><span class="gsc_rsb_a_ext">vanderbilt university</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at vanderbilt.edu</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-0Nnbs1IAAAAJ-img{width:32px;height:32px;}.gs_el_ta #gsc_rsb-0Nnbs1IAAAAJ-img,.gs_el_ph #gsc_rsb-0Nnbs1IAAAAJ-img{width:56px;height:56px;}</style><span id="gsc_rsb-0Nnbs1IAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Yang Fang" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-0Nnbs1IAAAAJ-img" class="gs_pp_df" data-src="/citations/images/avatar_scholar_56.png" data-srcset="/citations/images/avatar_scholar_32.png 32w,/citations/images/avatar_scholar_56.png 56w,/citations/images/avatar_scholar_128.png 128w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=0Nnbs1IAAAAJ&hl=en">Yang Fang</a><span class="gsc_rsb_a_ext">Department of Chemistry & Chemical Biology, Rutgers University</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at rutgers.edu</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-T97GxukAAAAJ-img{width:29px;height:32px;}.gs_el_ta #gsc_rsb-T97GxukAAAAJ-img,.gs_el_ph #gsc_rsb-T97GxukAAAAJ-img{width:50px;height:56px;}</style><span id="gsc_rsb-T97GxukAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Deirdre M. O'Carroll" sizes="(max-width:981px) 50px,29px" src="/scholar/images/cleardot.gif" id="gsc_rsb-T97GxukAAAAJ-img" class="gs_pp_df" data-src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=T97GxukAAAAJ&citpid=10" data-srcset="https://scholar.googleusercontent.com/citations?view_op=tiny_photo&user=T97GxukAAAAJ&citpid=10 29w,https://scholar.googleusercontent.com/citations?view_op=small_photo&user=T97GxukAAAAJ&citpid=10 50w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=T97GxukAAAAJ&citpid=10 115w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=T97GxukAAAAJ&hl=en">Deirdre M. O'Carroll</a><span class="gsc_rsb_a_ext">Associate Professor, Materials Science & Engineering, Chemistry, Rutgers University</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at rutgers.edu</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-p7-nPv8AAAAJ-img{width:26px;height:32px;}.gs_el_ta #gsc_rsb-p7-nPv8AAAAJ-img,.gs_el_ph #gsc_rsb-p7-nPv8AAAAJ-img{width:46px;height:56px;}</style><span id="gsc_rsb-p7-nPv8AAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Yong Zhang" sizes="(max-width:981px) 46px,26px" src="/scholar/images/cleardot.gif" id="gsc_rsb-p7-nPv8AAAAJ-img" class="gs_pp_df" data-src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=p7-nPv8AAAAJ&citpid=2" data-srcset="https://scholar.googleusercontent.com/citations?view_op=tiny_photo&user=p7-nPv8AAAAJ&citpid=2 26w,https://scholar.googleusercontent.com/citations?view_op=small_photo&user=p7-nPv8AAAAJ&citpid=2 46w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=p7-nPv8AAAAJ&citpid=2 105w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=p7-nPv8AAAAJ&hl=en">Yong Zhang</a><span class="gsc_rsb_a_ext">UNC-Charlotte, NREL, Dartmouth, Xiamen Univ.</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at uncc.edu</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-3hXv6GUAAAAJ-img{width:32px;height:32px;}.gs_el_ta #gsc_rsb-3hXv6GUAAAAJ-img,.gs_el_ph #gsc_rsb-3hXv6GUAAAAJ-img{width:56px;height:56px;}</style><span id="gsc_rsb-3hXv6GUAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Jeremy Cure" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-3hXv6GUAAAAJ-img" 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class="gs_gray">Z Hu, BJ Deibert, J Li</div><div class="gs_gray">Chemical Society Reviews 43 (16), 5815-5840<span class="gs_oph">, 2014</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=9020270200702863640" class="gsc_a_ac gs_ibl">4111</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2014</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:gKiMpY-AVTkC" class="gsc_a_at">Metal–organic frameworks: functional luminescent and photonic materials for sensing applications</a><div class="gs_gray">WP Lustig, S Mukherjee, ND Rudd, AV Desai, J Li, SK Ghosh</div><div class="gs_gray">Chemical Society Reviews 46 (11), 3242-3285<span class="gs_oph">, 2017</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=9150420947651405106" class="gsc_a_ac gs_ibl">2794</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2017</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:isC4tDSrTZIC" class="gsc_a_at">A luminescent microporous metal–organic framework for the fast and reversible detection of high explosives</a><div class="gs_gray">A Lan, K Li, H Wu, DH Olson, TJ Emge, W Ki, M Hong, J Li</div><div class="gs_gray">Angewandte Chemie International Edition 48 (13), 2334-2338<span class="gs_oph">, 2009</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=9780141401482264411" class="gsc_a_ac gs_ibl">1387</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2009</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:YFjsv_pBGBYC" class="gsc_a_at">New microporous metal− organic framework demonstrating unique selectivity for detection of high explosives and aromatic compounds</a><div class="gs_gray">S Pramanik, C Zheng, X Zhang, TJ Emge, J Li</div><div class="gs_gray">Journal of the American Chemical Society 133 (12), 4153-4155<span class="gs_oph">, 2011</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=16534069787666849359" class="gsc_a_ac gs_ibl">1178</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2011</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:blknAaTinKkC" class="gsc_a_at">Commensurate adsorption of hydrocarbons and alcohols in microporous metal organic frameworks</a><div class="gs_gray">H Wu, Q Gong, DH Olson, J Li</div><div class="gs_gray">Chemical reviews 112 (2), 836-868<span class="gs_oph">, 2012</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=15545602125914183893" class="gsc_a_ac gs_ibl">1109</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2012</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:RtRctb2lSbAC" class="gsc_a_at">Functional metal–organic frameworks as effective sensors of gases and volatile compounds</a><div class="gs_gray">HY Li, SN Zhao, SQ Zang, J Li</div><div class="gs_gray">Chemical Society Reviews 49 (17), 6364-6401<span class="gs_oph">, 2020</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=12150693605920589426" class="gsc_a_ac gs_ibl">968</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2020</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:s9ia6_kGH2AC" class="gsc_a_at">Separation of hydrocarbons with a microporous metal–organic framework</a><div class="gs_gray">L Pan, DH Olson, LR Ciemnolonski, R Heddy, J Li</div><div class="gs_gray">Angewandte Chemie International Edition 45 (4), 616-619<span class="gs_oph">, 2006</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=6311822861746462371" class="gsc_a_ac gs_ibl">849</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2006</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:TFP_iSt0sucC" class="gsc_a_at">Microporous metal organic materials: promising candidates as sorbents for hydrogen storage</a><div class="gs_gray">L Pan, MB Sander, X Huang, J Li, M Smith, E Bittner, B Bockrath, ...</div><div class="gs_gray">Journal of the American Chemical Society 126 (5), 1308-1309<span class="gs_oph">, 2004</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=15770814899671603327" class="gsc_a_ac gs_ibl">773</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2004</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:GnPB-g6toBAC" class="gsc_a_at">Zeolitic imidazolate frameworks for kinetic separation of propane and propene</a><div class="gs_gray">K Li, DH Olson, J Seidel, TJ Emge, H Gong, H Zeng, J Li</div><div class="gs_gray">Journal of the American Chemical Society 131 (30), 10368-10369<span class="gs_oph">, 2009</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=8749347762709279449" class="gsc_a_ac gs_ibl">763</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2009</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:HE397vMXCloC" class="gsc_a_at">Photochemical water oxidation by crystalline polymorphs of manganese oxides: structural requirements for catalysis</a><div class="gs_gray">DM Robinson, YB Go, M Mui, G Gardner, Z Zhang, D Mastrogiovanni, ...</div><div class="gs_gray">Journal of the American Chemical Society 135 (9), 3494-3501<span class="gs_oph">, 2013</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=4961065849696034873" class="gsc_a_ac gs_ibl">684</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2013</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:pqnbT2bcN3wC" class="gsc_a_at">MOFs for CO 2 capture and separation from flue gas mixtures: the effect of multifunctional sites on their adsorption capacity and selectivity</a><div class="gs_gray">Z Zhang, Y Zhao, Q Gong, Z Li, J Li</div><div class="gs_gray">Chemical Communications 49 (7), 653-661<span class="gs_oph">, 2013</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=3548230271300732539" class="gsc_a_ac gs_ibl">679</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2013</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:9yKSN-GCB0IC" class="gsc_a_at">Efficient and tunable white-light emission of metal–organic frameworks by iridium-complex encapsulation</a><div class="gs_gray">CY Sun, XL Wang, X Zhang, C Qin, P Li, ZM Su, DX Zhu, GG Shan, ...</div><div class="gs_gray">Nature communications 4, 2717<span class="gs_oph">, 2013</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=14502050131717582467" class="gsc_a_ac gs_ibl">618</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2013</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:1lhNe0rCu4AC" class="gsc_a_at">Sensing and capture of toxic and hazardous gases and vapors by metal–organic frameworks</a><div class="gs_gray">H Wang, WP Lustig, J Li</div><div class="gs_gray">Chemical Society Reviews 47, 4729<span class="gs_oph">, 2018</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=18206553978874684398" class="gsc_a_ac gs_ibl">612</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2018</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:gsN89kCJA0AC" class="gsc_a_at">The first single-sized ( 1 nm) and periodically ordered array of In2Te3 semiconductor quantum dots self-assembled in solution</a><div class="gs_gray">R Zhang, TJ Emge, C Zheng, J Li</div><div class="gs_gray">J. Mater. Chem. A 1 (2), 199-202<span class="gs_oph">, 2013</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=1748474367039911285,13454573800674907100,17784904642341768426" class="gsc_a_ac gs_ibl">607</a><span class="gsc_a_m"><a href="javascript:void(0)" class="gsc_a_am" data-eid="zC0c3AgAAAAJ:gsN89kCJA0AC">*</a></span></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2013</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:k_IJM867U9cC" class="gsc_a_at">ℝPM‐1: A Recyclable Nanoporous Material Suitable for Ship‐In‐Bottle Synthesis and Large Hydrocarbon Sorption</a><div class="gs_gray">L Pan, H Liu, X Lei, X Huang, DH Olson, NJ Turro, J Li</div><div class="gs_gray">Angewandte Chemie International Edition 42 (5), 542-546<span class="gs_oph">, 2003</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=12294837583734652596" class="gsc_a_ac gs_ibl">520</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2003</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:M05iB0D1s5AC" class="gsc_a_at">Enhanced Binding Affinity, Remarkable Selectivity, and High Capacity of CO2 by Dual Functionalization of a rht‐Type Metal–Organic Framework</a><div class="gs_gray">B Li, Z Zhang, Y Li, K Yao, Y Zhu, Z Deng, F Yang, X Zhou, G Li, H Wu, ...</div><div class="gs_gray">Angewandte Chemie International Edition 51 (6), 1412-1415<span class="gs_oph">, 2012</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=9324034732326712474" class="gsc_a_ac gs_ibl">507</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2012</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:JV2RwH3_ST0C" class="gsc_a_at">Zn (tbip)(H2tbip= 5-tert-butyl isophthalic acid): a highly stable guest-free microporous metal organic framework with unique gas separation capability</a><div class="gs_gray">L Pan, B Parker, X Huang, DH Olson, JY Lee, J Li</div><div class="gs_gray">Journal of the American Chemical Society 128 (13), 4180-4181<span class="gs_oph">, 2006</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=10142058767257511193" class="gsc_a_ac gs_ibl">498</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2006</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:M3NEmzRMIkIC" class="gsc_a_at">Novel single-and double-layer and three-dimensional structures of rare-earth metal coordination polymers: the effect of lanthanide contraction and acidity control in crystal …</a><div class="gs_gray">L Pan, X Huang, J Li, Y Wu, N Zheng</div><div class="gs_gray">Angewandte Chemie International Edition 39 (3), 527-530<span class="gs_oph">, 2000</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=17869069831579638169" class="gsc_a_ac gs_ibl">471</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2000</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:u_35RYKgDlwC" class="gsc_a_at">A multifunctional organic–inorganic hybrid structure based on MnIII–porphyrin and polyoxometalate as a highly effective dye scavenger and heterogenous catalyst</a><div class="gs_gray">C Zou, Z Zhang, X Xu, Q Gong, J Li, CD Wu</div><div class="gs_gray">Journal of the American Chemical Society 134 (1), 87-90<span class="gs_oph">, 2012</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=2177229891603389505" class="gsc_a_ac gs_ibl">447</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2012</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=zC0c3AgAAAAJ&citation_for_view=zC0c3AgAAAAJ:K3LRdlH-MEoC" class="gsc_a_at">Stability and hydrolyzation of metal organic frameworks with paddle-wheel SBUs upon hydration</a><div class="gs_gray">K Tan, N Nijem, P Canepa, Q Gong, J Li, T Thonhauser, YJ Chabal</div><div class="gs_gray">Chemistry of Materials 24 (16), 3153-3167<span class="gs_oph">, 2012</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.uk/scholar?oi=bibs&hl=en&cites=2230685630844867975" class="gsc_a_ac gs_ibl">438</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2012</span></td></tr></tbody></table><div id="gsc_a_sp"></div><div id="gsc_a_err" class="gs_alrt">The system can't perform the operation now. 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