ck art ▁conditions ▁▁ ▁From ▁the ▁in var iance ▁of ▁the ▁internal ▁coordinates ▁St ▁under ▁overall ▁rotation ▁and ▁translation ▁of ▁the ▁mole c ule , ▁follows ▁the ▁same ▁for ▁the ▁linear ized ▁coordinates ▁s ''' t A . ▁It ▁can ▁be ▁shown ▁that ▁this ▁implies ▁that ▁the ▁following ▁ 6 ▁conditions ▁are ▁satisfied ▁by ▁the ▁internal ▁coordinates , ▁ ▁These ▁conditions ▁follow ▁from ▁the ▁ ▁E ck art ▁conditions ▁that ▁hold ▁for ▁the ▁disp lacement ▁vectors , ▁ ▁References ▁ ▁Further ▁references ▁▁ ▁Category : S pect ro sc opy ▁Category : M ole cular ▁physics ▁Category : Quant um ▁chem istry <0x0A> </s> ▁George ▁Bar nett ▁( 1 8 5 9 – 1 9 3 0 ) ▁was ▁ 1 2 th ▁Command ant ▁of ▁the ▁United ▁States ▁Marine ▁Corps ▁ ▁George ▁Bar nett ▁may ▁also ▁refer ▁to : ▁▁ ▁George ▁E . ▁Bar nett ▁( 1 8 7 3 – 1 9 3 8 ), ▁American ▁econom ist ▁ ▁George ▁Ez ra ▁Bar nett ▁( born ▁ 1 9 9 3 ), ▁British ▁singer - song writer ▁ ▁George ▁Bar nett ▁( mus ician ▁born ▁ 1 9 8 8 ), ▁English ▁drum mer ▁for ▁These ▁New ▁Pur it ans ▁and ▁model ▁ ▁George ▁I . ▁Bar nett ▁( 1 8 1 5 – 1 8 9 8 ), ▁American ▁architect ▁ ▁George ▁Vern ▁Bar nett ▁( 1 8 9 1 – 1 9 4 6 ), ▁Australian ▁organ ist , ▁cho ir ▁master ▁and ▁accompan ist ▁ ▁George ▁Bar nett