Statistical mechanics " 61 



(134) 



Multiplying these relations by the corresponding yl-coefficient we obtain the 

 required expressions for the j^ coefiicients, whereby it is to be observed that 



A . . J • ■ I Å - I ■ ■ , . 



/iji A-i i2j2 fe 'Ui A'l 1272 A-2 



Order 0er 0. 



•■^ 000 000 ^000000 ^000- 



r' Order. 



(135) 



(136) 



-^100000 i^^j (^'^100000 ^000 100) 



7? = I ^9 A A 



-"010000 y " -^000 ^010' 

 -^001 000 ^000 -^001 ' 



■^000 100 ^-^000 010 -^000 001 



2" Order. 



-^200 000 ~ "2^(^^200 000 ~l~ -^000 200 '^100 lOo) 



\ (^^000 ^200 -^lOo)' 

 -^020 000 \ ('^^000 ^020 ^010^' 

 -^002 000 ~" \ (^-^000 ^*^002 "I' ^001^' 



-^000 200 ~~ "2 (2^000 -^200 " ^lOo)' 

 -^000 020 \ (2^000 ^^^020 -^OlO^ ' 

 -^000 002 Ï (^-^000 ^002 ^001^' 



-^110 000 ^ i (2^000 ^110 ~^ ^oio)' 

 -^101 000 ^1(^^000 ^101 + ^''^lOO -^OOl)' 

 -^011 000 i ('^^000 ^011 2^010 ^ooi) • 



-^000 110 i (2^000 ^110 2^100 ^oio)' 



-^000 101 ^ i (2^000 ^101 2^100 ^OOl)' 

 -^000 on ^ i (2-^000 ^011 ~~ 2^010 ^ooi) • 



