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From the results, there is no direct correlation between partition function and astronomical observation of the same isomeric species.
This letter reports an extensive investigation of the relationship between partition function and astronomical observation of interstellar isomers using high level quantum chemical calculations.
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The relations between partition functions and various thermodynamic functions were used to evaluate the latter due to translational, vibrational, and rotational degrees of freedom of molecular motions.
Meanwhile, Z(x) is the partition function and can be calculated using the forward backward algorithm.
In the outside (backward) recursion (see Figure 2), the pair probabilities of a RNA molecule of length n, that is the quotient between the partition function of all states containing the base pair, Q bp i, j) and the total partition function is computed.
Z is a partition function that normalizes the pdf and is a function of x and λ.
Analogously, Z i, j is the partition function over the prefix alignments and Z ^ i, j is the (reverse) partition function over the suffix alignments.
Given a j and a partition function P′ on R c (j, j+1).
Next, we compute the partition function over all secondary structures and over all pseudoknot-free hybridizations.
To obtain the effective interactions between NV centers, we calculate the partition function of the hybrid system (Z=operatorname{Tr}[e^{-beta H}]).
RNAup [ 8, 9] extends the standard partition function approach to RNA secondary structures and employs the single (unpaired) regions on each RNA to find the interaction between them.
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