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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.

37 votes
1 answer
5k views

What would follow in the series sigma, pi and delta bonds?

I realise, that this question is a stretch, but I was wondering, how would a bonding orbital be called if it was formed from two $f_{x(x^2−3y^2)}$ or $f_{y(3x^2−y^2)}$ orbitals. Have there been any su …
Martin - マーチン's user avatar
36 votes
3 answers
14k views

Is density functional theory an ab initio method?

The following comment by Wildcat made me think about whether density functional theory (DFT) can be considered an ab initio method. @Martin-マーチン, this is sort of nitpicking, but DFT (where the las …
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
27 votes
Accepted

What would follow in the series sigma, pi and delta bonds?

tl;dr The next in the series is called φ bond. There is even a tiny Wikipedia article about it. Nicolau pointed me to the Wikipedia article, that had at the time a tiny section about the φ symmetry …
Martin - マーチン's user avatar
26 votes

How can the dipole moment of carbon monoxide be rationalised by molecular orbital theory?

Unfortunately, nothing in the bonding situation in carbon monoxide is easily explained, especially not the dipole moment. According to the electronegativities of the elements, you would expect the par …
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
19 votes
Accepted

Why is the bond order of CO+ 3.5?

For a long time it was taught in school and universities that the HOMO of carbon monoxide is anti-bonding. Without more context it was also often taught that the bond order in CO is three, since there …
Martin - マーチン's user avatar
18 votes

Why is CO practically nonpolar?

Preliminaries: I am using the wrong (but still common) notation of the dipole moment. Please see the question about the direction of the dipole moment. The reason why carbon monoxide is often referre …
Martin - マーチン's user avatar
17 votes
Accepted

After a unitary transformation, is Koopmans' theorem still valid?

Disclaimer: I like Tyberius' answer, but I'd like to go a little further. $% \newcommand{\ll}{\left\langle}\newcommand{\rr}{\right\rangle} \newcommand{\lb}{\left|}\newcommand{\rb}{\right|} \newcommand …
Martin - マーチン's user avatar
15 votes

How to find the second order perturbation to wave function?

Since I had troubles with the notation the first time around, I did some real quantum chemistry (with a pencil and some paper) and finally was able to derive the whole RSPT ansatz. Since this is equiv …
Martin - マーチン's user avatar
15 votes
Accepted

How to identify hydrogen bonds and other non-covalent interactions from structure considerat...

It is safe to say that there will always be intermolecular forces at play. At the time where you will consider these you should already have a good idea about the molecules involved in your system. Ba …
Martin - マーチン's user avatar
14 votes
2 answers
2k views

How to identify hydrogen bonds and other non-covalent interactions from structure considerat...

Chemistry is governed by a wide range of interactions, from ionic and covalent bonding, or other types of strong interactions, towards weaker types of bonding, attraction, or repulsion, that typically …
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
13 votes

Is coupled cluster variational for two electrons?

No. The reason for this is not to be found in the excitations, but in the evaluation of the method, i.e. the working equations. $$%Introducing some shortcuts \require{cancel} \newcommand{\op}[1]{\math …
Martin - マーチン's user avatar
12 votes

Matching a Slater-type wavefunction with a minimal (STO-nG) Gaussian basis set

TL;DR The procedure to represent a Slater-type orbital (STO) as a linear combination of Gaussian-type orbitals (GTO) is outlined in W. J. Hehre, R. F. Stewart and J. A. Pople, J. Chem. Phys. 1969, 51 …
Martin - マーチン's user avatar

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