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<div class="pure-menu pure-menu-open pure-menu-horizontal centre" role="navigation" style="background: #000 url(../../_media/elements/discharge/blank.png) repeat-y center; background-size:contain;"> <span><a class="pure-menu-heading" href="https://winter.group.shef.ac.uk/webelements/"><img height="30" src="../../_media/icons/logo_60.png" alt="WebElements logo" /></a> <span style="color:white;">Thermodynamic properties</span></span> </div> </div> </div> <div id="main">  <div class="pure-g"> <div class="pure-u-1 pure-u-sm-1-1"> <div class="google_navbar_positioning"> <form action="https://www.google.com" id="cse-search-box"> <div> <input type="hidden" name="cx" value="partner-pub-9334432533380510:6223510783" /> <input type="hidden" name="ie" value="UTF-8" /> <input type="text" name="q" size="28" /> <input type="submit" name="sa" value="Search" /> </div> </form> <script> </script> </div> </div> </div> <main> <div class="pure-g"> <div class="pure-u-1 pure-u-sm-1-1"> <h1 class="z">Thermodynamic properties</h1> </div> </div> <div class="pure-menu pure-menu-horizontal">       </div> <p>A definition will appear here.</p> <figure></figure> <figure></figure> <h2 class="z">Units</h2> <p>None</p> <h2 class="heading2">Notes</h2> <p>The values of ΔH<sub>f</sub><sup>8</sup> and ΔG<sub>f</sub><sup>8</sup> represent the changes in H or G when one mole of the element is formed in the defined state isothermally from the elements in its appropriate standard state. The standard state is chosen to be the state that is thermodynamically stable at 25<sup>8</sup>C and 1 atmosphere pressure. The standard state is shown as those for which ΔH<sub>f</sub> and ΔG<sub>f</sub> are precisely zero.</p> <p>The values of S<sup>8</sup> represent the virtual of thermal "entropy" of the element in the standard state at 298.15 K, omitting contributions from nuclear spins and isotope mixing effects.</p> <p>The heat capacity, C<sub>p</sub><sup>8</sup>, is the quantity of heat required to increase the temperature by 1 K of one mole of the element in the defined state. The units are J K<sup>-1</sup> mol<sup>-1</sup>. This quantity is dependent upon temperature in a complex fashion. See Ref. 2 for further details.</p> <h2 class="z">Literature sources</h2> <ol> <li>G.W.C. Kaye and T.H. Laby in <em>Tables of physical and chemical constants</em>, Longman, London, UK, 15th edition, 1993.</li> <li>D.R. Lide, (Ed.) in <em><a href="http://www.amazon.com/exec/obidos/ASIN/0849304806/webelements">Chemical Rubber Company handbook of chemistry and physics</a></em>, CRC Press, Boca Raton, Florida, USA, 79th edition, 1998.</li> <li>A.M. James and M.P. Lord in <em>Macmillan's Chemical and Physical Data</em>, Macmillan, London, UK, 1992.</li> </ol> </main> <div class="table-responsive"> <table class="pure-table periodic-table"> <caption class="periodic_table_caption">Explore the element of your choice through this periodic table.</caption> <thead> <tr> <th class="w5">1</th> <th class="w5">2</th> <th class="w2"> </th> <th class="w5">3</th> <th class="w5">4</th> <th class="w5">5</th> <th class="w5">6</th> <th class="w5">7</th> <th class="w5">8</th> <th class="w5">9</th> <th class="w5">10</th> <th class="w5">11</th> <th class="w5">12</th> <th class="w5">13</th> <th class="w5">14</th> <th class="w5">15</th> <th class="w5">16</th> <th class="w5">17</th> <th class="w5">18</th> </tr> </thead> <tbody> <tr> <td class="s"> <div class="at_num">1</div> <div class="sym"><a class="sym" href="../../hydrogen/" title="Hydrogen">H</a></div> </td> <td class="v"></td> <td colspan="16" class="v"></td> <td class="p"> <div class="at_num">2</div> <div class="sym"><a class="sym" href="../../helium/" title="Helium">He</a></div> </td> </tr> <tr> <td class="s"> <div class="at_num">3</div> <div class="sym"><a class="sym" href="../../lithium/" title="Lithium">Li</a></div> </td> <td class="s"> <div class="at_num">4</div> <div class="sym"><a class="sym" href="../../beryllium/" title="Beryllium">Be</a></div> </td> <td colspan="11"></td> <td class="p"> <div class="at_num">5</div> <div class="sym"><a class="sym" href="../../boron/" title="|title_5">B</a></div> </td> <td class="p"> <div class="at_num">6</div> <div class="sym"><a class="sym" href="../../carbon/" title="|title_6">C</a></div> </td> <td class="p"> <div class="at_num">7</div> <div class="sym"><a class="sym" href="../../nitrogen/" title="Nitrogen">N</a></div> </td> <td class="p"> <div class="at_num">8</div> <div class="sym"><a class="sym" href="../../oxygen/" title="Oxygen">O</a></div> </td> <td class="p"> <div class="at_num">9</div> <div class="sym"><a class="sym" href="../../fluorine/" title="Fluorine">F</a></div> </td> <td class="p"> <div class="at_num">10</div> <div class="sym"><a class="sym" href="../../neon/" title="Neon">Ne</a></div> </td> </tr> <tr> <td class="s"> <div class="at_num">11</div> <div class="sym"><a class="sym" href="../../sodium/" title="Sodium">Na</a></div> </td> <td class="s"> <div class="at_num">12</div> <div class="sym"><a class="sym" href="../../magnesium/" title="Magnesium">Mg</a></div> </td> <td colspan="11" class="void"></td> <td class="p"> <div class="at_num">13</div> <div class="sym"><a class="sym" href="../../aluminium/" title="Aluminium">Al</a></div> </td> <td class="p"> <div class="at_num">14</div> <div class="sym"><a class="sym" href="../../silicon/" title="Silicon">Si</a></div> </td> <td class="p"> <div class="at_num">15</div> <div class="sym"><a class="sym" href="../../phosphorus/" title="Phosphorus">P</a></div> </td> <td class="p"> <div class="at_num">16</div> <div class="sym"><a class="sym" href="../../sulfur/" title="Sulfur">S</a> </div> </td> <td class="p"> <div class="at_num">17</div> <div class="sym"><a class="sym" href="../../chlorine/" title="Chlorine">Cl</a></div> </td> <td class="p"> <div class="at_num">18</div> <div class="sym"><a class="sym" href="../../argon/" title="Argon">Ar</a></div> </td> </tr> <tr> <td class="s"> <div class="at_num">19</div> <div class="sym"><a class="sym" href="../../potassium/" title="Potassium">K</a></div> </td> <td class="s"> <div class="at_num">20</div> <div class="sym"><a class="sym" href="../../calcium/" title="Calcium">Ca</a></div> </td> <td class="void"></td> <td class="d"> <div class="at_num">21</div> <div class="sym"><a class="sym" href="../../scandium/" title="Scandium">Sc</a></div> </td> <td class="d"> <div class="at_num">22</div> <div class="sym"><a class="sym" href="../../titanium/" title="Titanium">Ti</a></div> </td> <td class="d"> <div class="at_num">23</div> <div class="sym"><a class="sym" href="../../vanadium/" title="Vanadium">V</a></div> </td> <td class="d"> <div class="at_num">24</div> <div class="sym"><a class="sym" href="../../chromium/" title="Chromium">Cr</a></div> </td> <td class="d"> <div class="at_num">25</div> <div class="sym"><a class="sym" href="../../manganese/" title="Manganese">Mn</a></div> </td> <td class="d"> <div class="at_num">26</div> <div class="sym"><a class="sym" href="../../iron/" title="Iron">Fe</a></div> </td> <td class="d"> <div class="at_num">27</div> <div class="sym"><a class="sym" href="../../cobalt/" title="Cobalt">Co</a></div> </td> <td class="d"> <div class="at_num">28</div> <div class="sym"><a class="sym" href="../../nickel/" title="Nickel">Ni</a></div> </td> <td class="d"> <div class="at_num">29</div> <div class="sym"><a class="sym" href="../../copper/" title="Copper">Cu</a></div> </td> <td class="d"> <div class="at_num">30</div> <div class="sym"><a class="sym" href="../../zinc/" title="Zinc">Zn</a></div> </td> <td class="p"> <div class="at_num">31</div> 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href="../../strontium/" title="Strontium">Sr</a></div> </td> <td class="void"></td> <td class="d"> <div class="at_num">39</div> <div class="sym"><a class="sym" href="../../yttrium/" title="Yttrium">Y</a></div> </td> <td class="d"> <div class="at_num">40</div> <div class="sym"><a class="sym" href="../../zirconium/" title="Zirconium">Zr</a></div> </td> <td class="d"> <div class="at_num">41</div> <div class="sym"><a class="sym" href="../../niobium/" title="Niobium">Nb</a></div> </td> <td class="d"> <div class="at_num">42</div> <div class="sym"><a class="sym" href="../../molybdenum/" title="Molybdenum">Mo</a></div> </td> <td class="d"> <div class="at_num">43</div> <div class="sym"><a class="sym" href="../../technetium/" title="Technetium">Tc</a></div> </td> <td class="d"> <div class="at_num">44</div> <div class="sym"><a class="sym" href="../../ruthenium/" title="Ruthenium">Ru</a></div> </td> <td class="d"> <div class="at_num">45</div> <div class="sym"><a class="sym" href="../../rhodium/" title="Rhodium">Rh</a></div> </td> <td class="d"> <div class="at_num">46</div> <div class="sym"><a class="sym" href="../../palladium/" title="Palladium">Pd</a></div> </td> <td class="d"> <div class="at_num">47</div> <div class="sym"><a class="sym" href="../../silver/" title="Silver">Ag</a></div> </td> <td class="d"> <div class="at_num">48</div> <div class="sym"><a class="sym" href="../../cadmium/" title="Cadmium">Cd</a></div> </td> <td class="p"> <div class="at_num">49</div> <div class="sym"><a class="sym" href="../../indium/" title="Indium">In</a></div> </td> <td class="p"> <div class="at_num">50</div> <div class="sym"><a class="sym" href="../../tin/" title="Tin">Sn</a></div> </td> <td class="p"> <div class="at_num">51</div> <div class="sym"><a class="sym" href="../../antimony/" title="Antimony">Sb</a></div> </td> <td class="p"> <div class="at_num">52</div> <div class="sym"><a class="sym" href="../../tellurium/" title="Tellurium">Te</a></div> </td> <td class="p"> <div class="at_num">53</div> <div class="sym"><a class="sym" href="../../iodine/" title="Iodine">I</a></div> </td> <td class="p"> <div class="at_num">54</div> <div class="sym"><a class="sym" href="../../xenon/" title="Xenon">Xe</a></div> </td> </tr> <tr> <td class="s"> <div class="at_num">55</div> <div class="sym"><a class="sym" href="../../caesium/" title="Caesium">Cs</a></div> </td> <td class="s"> <div class="at_num">56</div> <div class="sym"><a class="sym" href="../../barium/" title="Barium">Ba</a></div> </td> <th class="asterisk">*</th> <td class="d"> <div class="at_num xd">71</div> <div class="sym"><a class="sym" href="../../lutetium/" title="Lutetium">Lu</a></div> </td> <td class="d"> <div class="at_num">72</div> <div class="sym"><a class="sym" href="../../hafnium/" title="Hafnium">Hf</a></div> </td> <td class="d"> <div class="at_num">73</div> <div class="sym"><a class="sym" href="../../tantalum/" title="Tantalum">Ta</a></div> </td> <td class="d"> <div class="at_num">74</div> <div class="sym"><a class="sym" href="../../tungsten/" title="Tungsten">W</a></div> </td> <td class="d"> <div class="at_num">75</div> <div class="sym"><a class="sym" href="../../rhenium/" title="Rhenium">Re</a></div> </td> <td class="d"> <div class="at_num">76</div> <div class="sym"><a class="sym" href="../../osmium/" title="Osmium">Os</a></div> </td> <td class="d"> <div class="at_num">77</div> <div class="sym"><a class="sym" href="../../iridium/" title="Iridium">Ir</a></div> </td> <td class="d"> <div class="at_num">78</div> <div class="sym"><a class="sym" href="../../platinum/" title="Platinum">Pt</a></div> </td> <td class="d"> <div class="at_num">79</div> <div class="sym"><a class="sym" href="../../gold/" title="Gold">Au</a></div> </td> <td class="d"> <div class="at_num">80</div> <div class="sym"><a class="sym" href="../../mercury/" title="Mercury">Hg</a></div> </td> <td class="p"> <div class="at_num">81</div> <div class="sym"><a class="sym" href="../../thallium/" title="Thallium">Tl</a></div> </td> <td class="p"> <div class="at_num">82</div> <div class="sym"><a class="sym" href="../../lead/" title="Lead">Pb</a></div> </td> <td class="p"> <div class="at_num">83</div> <div class="sym"><a class="sym" href="../../bismuth/" title="Bismuth">Bi</a></div> </td> <td class="p"> <div class="at_num">84</div> <div class="sym"><a class="sym" href="../../polonium/" title="Polonium">Po</a></div> </td> <td class="p"> <div class="at_num">85</div> <div class="sym"><a class="sym" href="../../astatine/" title="Astatine">At</a></div> </td> <td class="p"> <div class="at_num">86</div> <div class="sym"><a class="sym" href="../../radon/" title="Radon">Rn</a></div> </td> </tr> <tr> <td class="s"> <div class="at_num">87</div> <div class="sym"><a class="sym" href="../../francium/" title="Francium">Fr</a></div> </td> <td class="s"> <div class="at_num">88</div> <div class="sym"><a class="sym" href="../../radium/" title="Radium">Ra</a></div> </td> <th class="v">**</th> <td class="d"> <div class="at_num">103</div> <div class="sym"><a class="sym" href="../../lawrencium/" title="Lawrencium">Lr</a></div> </td> <td class="d"> <div class="at_num">104</div> <div class="sym"><a class="sym" href="../../rutherfordium/" title="Rutherfordium">Rf</a></div> </td> <td class="d"> <div class="at_num">105</div> <div class="sym"><a class="sym" href="../../dubnium/" title="Dubnium">Db</a></div> </td> <td class="d"> <div class="at_num">106</div> <div class="sym"><a class="sym" href="../../seaborgium/" title="Seaborgium">Sg</a></div> </td> <td class="d"> <div class="at_num">107</div> <div class="sym"><a class="sym" href="../../bohrium/" title="Bohrium">Bh</a></div> </td> <td class="d"> <div class="at_num">108</div> <div class="sym"><a class="sym" href="../../hassium/" title="Hassium">Hs</a></div> </td> <td class="d"> <div class="at_num">109</div> <div class="sym"><a class="sym" href="../../meitnerium/" title="Meitnerium">Mt</a></div> </td> <td class="d"> <div class="at_num">110</div> <div class="sym"><a class="sym" href="../../darmstadtium/" title="Darmstadtium">Ds</a></div> </td> <td class="d"> <div class="at_num">111</div> <div class="sym"><a class="sym" href="../../roentgenium/" title="Roentgenium">Rg</a></div> </td> <td class="d"> <div class="at_num">112</div> <div class="sym"><a class="sym" href="../../copernicium/" title="Copernicium">Cn</a></div> </td> <td class="p"> <div class="at_num">113</div> <div class="sym"><a class="sym" href="../../nihonium/" title="Nihonium">Nh</a></div> </td> <td class="p"> <div class="at_num">114</div> <div class="sym"><a class="sym" href="../../flerovium/" title="Flerovium">Fl</a></div> </td> <td class="p"> <div class="at_num">115</div> <div class="sym"><a class="sym" href="../../moscovium/" title="Moscovium">Mc</a></div> </td> <td class="p"> <div class="at_num">116</div> <div class="sym"><a class="sym" href="../../livermorium/" title="Livermorium">Lv</a></div> </td> <td class="p"> <div class="at_num">117</div> <div class="sym"><a class="sym" href="../../tennessine/" title="Tennessine">Ts</a></div> </td> <td class="p"> <div class="at_num">118</div> <div class="sym"><a class="sym" href="../../oganesson/" title="Oganesson">Og</a></div> </td> </tr> <tr> <td colspan="19" class="v"> </td> </tr> <tr> <th class="lbl" colspan="2">*Lanthanoids</th> <th class="v">*</th> <td class="f"> <div class="at_num">57</div> <div class="sym"><a class="sym" href="../../lanthanum/" title="Lanthanum">La</a></div> </td> <td class="f"> <div class="at_num">58</div> <div class="sym"><a class="sym" href="../../cerium/" title="Cerium">Ce</a></div> </td> <td class="f"> <div class="at_num">59</div> <div class="sym"><a class="sym" href="../../praseodymium/" title="Praseodymium">Pr</a></div> </td> <td class="f"> <div class="at_num">60</div> <div class="sym"><a class="sym" href="../../neodymium/" title="Neodymium">Nd</a></div> </td> <td class="f"> <div class="at_num">61</div> <div class="sym"><a class="sym" href="../../promethium/" title="Promethium">Pm</a></div> </td> <td class="f"> <div class="at_num">62</div> <div class="sym"><a class="sym" href="../../samarium/" title="Samarium">Sm</a></div> </td> <td class="f"> <div class="at_num">63</div> <div class="sym"><a class="sym" href="../../europium/" title="Europium">Eu</a></div> </td> <td class="f"> <div class="at_num">64</div> <div class="sym"><a class="sym" href="../../gadolinium/" title="Gadolinium">Gd</a></div> </td> <td class="f"> <div class="at_num">65</div> <div class="sym"><a class="sym" href="../../terbium/" title="Terbium">Tb</a></div> </td> <td class="f"> <div class="at_num">66</div> <div class="sym"><a class="sym" href="../../dysprosium/" title="Dysprosium">Dy</a></div> </td> <td class="f"> <div class="at_num">67</div> <div class="sym"><a class="sym" href="../../holmium/" title="Holmium">Ho</a></div> </td> <td class="f"> <div class="at_num">68</div> <div class="sym"><a class="sym" href="../../erbium/" title="Erbium">Er</a></div> </td> <td class="f"> <div class="at_num">69</div> <div class="sym"><a class="sym" href="../../thulium/" title="Thulium">Tm</a></div> </td> <td class="f"> <div class="at_num">70</div> <div class="sym"><a class="sym" href="../../ytterbium/" title="Ytterbium">Yb</a></div> </td> <td colspan="2"></td> </tr> <tr> <th class="lbl" colspan="2">**Actinoids</th> <th class="v">**</th> <td class="f"> <div class="at_num">89</div> <div class="sym"><a class="sym" href="../../actinium/" title="Actinium">Ac</a></div> </td> <td class="f"> <div class="at_num">90</div> <div class="sym"><a class="sym" href="../../thorium/" title="Thorium">Th</a></div> </td> <td class="f"> <div class="at_num">91</div> <div class="sym"><a class="sym" href="../../protactinium/" title="Protactinium">Pa</a></div> </td> <td class="f"> <div class="at_num">92</div> <div class="sym"><a class="sym" href="../../uranium/" title="Uranium">U</a></div> </td> <td class="f"> <div class="at_num">93</div> <div class="sym"><a class="sym" href="../../neptunium/" title="Neptunium">Np</a></div> </td> <td class="f"> <div class="at_num">94</div> <div class="sym"><a class="sym" href="../../plutonium/" title="Plutonium">Pu</a></div> </td> <td class="f"> <div class="at_num">95</div> <div class="sym"><a class="sym" href="../../americium/" title="Americium">Am</a></div> </td> <td class="f"> <div class="at_num">96</div> <div class="sym"><a class="sym" href="../../curium/" title="Curium">Cm</a></div> </td> <td class="f"> <div class="at_num">97</div> <div class="sym"><a class="sym" href="../../berkelium/" title="Berkelium">Bk</a></div> </td> <td class="f"> <div class="at_num">98</div> <div class="sym"><a class="sym" href="../../californium/" title="Californium">Cf</a></div> </td> <td class="f"> <div class="at_num">99</div> <div class="sym"><a class="sym" href="../../einsteinium/" title="Einsteinium">Es</a></div> </td> <td class="f"> <div class="at_num">100</div> <div class="sym"><a class="sym" href="../../fermium/" title="Fermium">Fm</a></div> </td> <td class="f"> <div class="at_num">101</div> <div class="sym"><a class="sym" href="../../mendelevium/" title="Mendelevium">Md</a></div> </td> <td class="f"> <div class="at_num">102</div> <div class="sym"><a class="sym" href="../../nobelium/" title="Nobelium">No</a></div> </td> <td colspan="2"></td> </tr> </tbody> </table> </div> <div id="footer"> <footer> <div class="footer"> <div class="pure-g"> <div class="pure-u-1-2 pure-u-sm-1-2 pure-u-lg-1-4 pure-menu custom-restricted-width"> <ul class="pure-menu-list"> <li class="pure-menu-heading footer_h">Key properties</li> <li class="pure-menu-item"><a class="pure-menu-link" href="https://www.webelements.com/periodicity/eneg_pauling/">Electronegativity </a></li> <li class="pure-menu-item"><a class="pure-menu-link" href="https://www.webelements.com/periodicity/melting_point/">Melting point</a></li> <li class="pure-menu-item"><a class="pure-menu-link" 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