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- W2801561608 abstract "The NMR intensity pattern of a nucleus split by N identical nuclei of spin 1/2 is given by the binomial coefficients. These are conveniently obtained from Pascal's triangle, equivalent to the chemist's branching diagram. Much less well-known is the pattern from splitting by N identical nuclei of spin I > 1/2. This was originally presented in terms of multinomial coefficients, but polynomial coefficients are more convenient. These describe the number of ways that N objects can be distributed to 2I + 1 numbered boxes. They arise in the polynomial expansion and are conveniently obtained from generalizations of Pascal's triangle. Examples and predictions are given." @default.
- W2801561608 created "2018-05-17" @default.
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- W2801561608 date "2018-05-17" @default.
- W2801561608 modified "2023-09-23" @default.
- W2801561608 title "Polynomial coefficients. Application to spin-spin splitting by N equivalent nuclei of spin I > 1/2" @default.
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- W2801561608 doi "https://doi.org/10.1002/mrc.4745" @default.
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