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A Handbook of Magnetochemical Formulae by Boca, Roman (Auth.)

By Boca, Roman (Auth.)

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The number of boxes in the new diagram must be equal to the sum of the number of boxes in the original two diagrams. 2. For Un no diagram has more than n rows. 3. Making a journey through the diagram starting with the top row and entering each row from the right, at any point the number of ai’s encountered in any of the attached boxes must not exceed the number of previously encountered ai 2 1’s. 4. The numbers must not increase when reading across a row from left to right. 5. The numbers must decrease when reading a column from top to bottom.

1 S 5 1=2 ! Γ6 , A1g ! Γ1 S 5 3=2 ! Γ8 , A1g ! Γ1 S 5 5=2 ! fΓ7 1 Γ8 g, A1g ! 19b 2 S 5 1=2 ! Γ6 , Eg ! Γ5 Γ6 3 Γ5 5 Γ6 1 Γ7 S 5 1 ! fΓ2 1 Γ5 g, Eg ! Γ5 fΓ2 1 Γ5 g 3 Γ5 5 fΓ5 g 1 fΓ1 1 Γ2 1 Γ3 1 Γ4 g S 5 3=2 ! fΓ6 1 Γ7 g, Eg ! Γ5 fΓ6 1 Γ7 g 3 Γ5 5 fΓ6 1 Γ7 g 1 fΓ6 1 Γ7 g S 5 2 ! fΓ1 1 Γ3 1 Γ4 1 Γ5 g, fΓ1 1 Γ3 1 Γ4 1 Γ5 g 3 Γ5 Eg ! Γ5 5 fΓ5 g 1 fΓ5 g 1 fΓ5 g 1 fΓ1 1 Γ2 1 Γ3 1 Γ4 g S 5 1=2 ! Γ6 , B2g ! Γ4 Γ6 3 Γ4 5 Γ7 S 5 1 ! fΓ2 1 Γ5 g, A2g ! Γ2 fΓ2 1 Γ5 g 3 Γ2 5 fΓ1 g 1 fΓ5 g S 5 3=2 ! fΓ6 1 Γ7 g, fΓ6 1 Γ7 g 3 Γ2 5 fΓ6 g 1 fΓ7 g A2g !

As an example, let us consider two subsystems containing particles S3A(1,2,3) and S3A(4,5,6). 148) a a + a + a ab b + b a + a b a + a a ab b Comprehensively, ½21Š  ½21Š 5 ½42Š 1 ½412 Š 1 ½32 Š 1 2U½321Š 1 ½313 Š 1 ½23 Š 1 ½22 12 Š ð1:149Þ The dimensions in S6 satisfy the relationship dimf½42Š 1 ½412 Š 1 ½32 Š 1 2U ½321Š 1 ½313 Š 1 ½23 Š 1 ½22 12 Šg 5 9 1 10 1 5 1 2U 16 1 10 1 5 1 9 5 80 ð1:150Þ   6 5 2U 2U 20 5 80 3 where the binomial coefficient determines the number of distributions of three particles in six cells.

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