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For questions seeking answers deduced from or composed of theories regarding the chemical substances and about models and methods of theoretical chemistry.

5 votes
Accepted

What is the correct approach to obtain PES using CASSCF?

Yes in principle that is a correct approach, but you should be aware of a few pitfalls here and there. The basis set you chose for your optimisation might not be large enough. I assume you are not go …
Martin - マーチン's user avatar
7 votes
Accepted

Fock operator invariance under unitary transformation

The exchange operator is not a operator by itself, it is only defined with the orbital it is working on: $% \newcommand{\ll}{\left\langle}\newcommand{\rr}{\right\rangle} \newcommand{\lb}{\left|}\newc …
Martin - マーチン's user avatar
3 votes

What is the reasoning behind the assumptions of Transition State Theory?

This is deeper discussed in Rate Constant Units and Eyring Equation, but I am going to post a very short take-home message here. First, the three assumptions you have cited are not complete. They comp …
Martin - マーチン's user avatar
20 votes
Accepted

Utility of Bent's Rule - What can Bent's rule explain that other qualitative considerations ...

There is a reason for everything. Does Bent's rule have any utility? YES! It wouldn't be there if there was not. But I will get back to this at the end of this post. Let me go through the point …
Martin - マーチン's user avatar
4 votes

How is Bent's rule consistent with LCAO MO theory?

Beyond the educational value, Bent's rule has had significant impact on how we understand wave functions of molecules. It's simplicity is almost unique in the world of quantum chemistry; almost everyb …
Martin - マーチン's user avatar
9 votes
1 answer
810 views

How to obtain product ratio from energy differences via Boltzmann statistics

I am currently calculating some reactions and I would like to express the ratio of the products in per cents. I am using the Boltzmann statistic in the following way: The probability $p_j$ of a part …
Martin - マーチン's user avatar
3 votes
Accepted

How to derive the total number of molecular orbitals based on the given number of atomic orb...

The question itself deals with molecular orbital theory and by extension with the approximation of combining atomic orbitals to form these molecular orbitals; in quantum chemistry this approach is cal …
Martin - マーチン's user avatar
6 votes

What is the hybridization of the nitrogen in the azide ion?

I have said it a couple of times already on our site,[1] but I'm not getting tired of saying it again: Hybridisation always follows the (spatial) geometry of the molecule, never the other way arou …
Martin - マーチン's user avatar
5 votes
1 answer
176 views

Is the neutral di-µ-oxo-bridged manganese dimer with eight ammonia ligands a reasonable stru...

In its guide to model antiferromagnetic couplig, Gaussian uses $\ce{Mn2O2(NH3)8}$ as a model compound.[1] It argues that manganese is in II oxidation high spin state; in other words, in both manganese …
Martin - マーチン's user avatar
2 votes

How to calculate molarity and the number of molecules for a mixture in a simulation box?

I would use a slightly different approach than andselisk, based on the volume on your box, and that I don't think you can neglect the volume of your ammonia molecules. Given $V(\text{sol}) = \pu{17.57 …
Martin - マーチン's user avatar
8 votes
Accepted

Is it reasonable to use natural orbitals of an unrestricted HF calculation as a basis to sta...

The best starting orbitals for a CASSCF calculation are optimised orbitals of another CASSCF (or RASSCF) calculation. That sounds a bit ridiculous, but this is probably the best way to figure out the …
Martin - マーチン's user avatar
3 votes
Accepted

Relationship between magnitudes of forward and reverse kinetic rate constants

A chemical reaction may be a very complicated thing, involving many different paths and elementary reactions. Basically it always leads to the formation of an equilibrium, where the lowest possible en …
Martin - マーチン's user avatar
11 votes

Rate Constant Units and Eyring Equation

Using Transition State Theory (TST) one has to be aware of at least some of the many flaws of it. And may also often lead to wrong assumptions. However, it is a wonderful tool to describe basic kineti …
Martin - マーチン's user avatar
31 votes
Accepted

How to find the second order perturbation to wave function?

Disclaimer This post is some kind of a legacy post. Find the notation used in the question in the other answer. I added this proof as I was not entirely certain I understood the notation correctly. As …
Martin - マーチン's user avatar
13 votes

LCAO (Linear Combination of Atomic Orbitals) and Phases

The concept of linear combination of atomic orbitals (LCAO) to form molecular orbitals (MO) is probably best understood, while digging a little deeper into quantum chemistry. The method is an approxim …
Martin - マーチン's user avatar

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