What is Quantum chemistry: Definition and 70 Discussions
Quantum chemistry, also called molecular quantum mechanics, is a branch of chemistry focused on the application of quantum mechanics to chemical systems. Understanding electronic structure and molecular dynamics using the Schrödinger equations are central topics in quantum chemistry.
Chemists rely heavily on spectroscopy through which information regarding the quantization of energy on a molecular scale can be obtained. Common methods are infra-red (IR) spectroscopy, nuclear magnetic resonance (NMR) spectroscopy, and scanning probe microscopy. Quantum chemistry studies the ground state of individual atoms and molecules, and the excited states, and transition states that occur during chemical reactions.
On the calculations, quantum chemical studies use also semi-empirical and other methods based on quantum mechanical principles, and deal with time dependent problems. Many quantum chemical studies assume the nuclei are at rest (Born–Oppenheimer approximation). Many calculations involve iterative methods that include self-consistent field methods. Major goals of quantum chemistry include increasing the accuracy of the results for small molecular systems, and increasing the size of large molecules that can be processed, which is limited by scaling considerations—the computation time increases as a power of the number of atoms.
By considering a particle on a ring, the eigenfunctions of ##H## are also eigenfunctions of ##L_\text{z}##:
$$\psi(\phi) = \frac{1}{\sqrt{2\pi}}e^{im\phi}$$
with ##m = 0,\pm 1,\pm 2,\cdots##. In polar coordinates, the corresponding operators are
$$H =...
Experts in physics, physical chemistry and organic chemistry are invited to the thread. I work in the field of quantum chemistry, and have plans of implementing molecular mechanics calculations in my program Chemcraft. Some people say that molecular mechanics can work rather well in some cases...
When quantum chemistry computations are performed, different methods are used. Among the most popular are the density functional theory (DFT) methods. And it is known that the DFT approach usually underestimates the dispersion interaction, and to solve this problem, often empirical dispersion...
TL;DR Summary: Imagine you have infinite funds and cooperation to build a very ideal curriculum and student organization, both dedicated to quantum information science, at a university. What does this look like pedagogically? How would this be structured? What resources do students need access...
I would say that for the elements with the lowest atomic numbers, because these elements have their nuclei the lightest and so they can move more and their movement influence electrons more than in some heavier elements, whose nuclei move less. Am I right or not?
This is a confusing subject for me. It's like only getting half of the story. Reading physics but not understanding how it works in chemistry makes it nonsense to me.
Imagine we are creating a silicon-based semiconductor. They have covalent bonds between them, with each silicon atom having four...
Hello!
I'm trying to model an interaction between ligands and a heme group using FMO in Gamess.
I've tried to make HMOs for the FMOBND section of the input file (using an Fe-F complex), the HMOs are shown below:
STO-3G 19 5
0 1 0.992624, 0.019366, 0.000000, 0.000000,-0.000001,-0.014838...
Normalize function f(r) = Nexp{-alpha*r}
Where alpha is positive const and r is a vector
I was just wondering if the fact that we have a vector value in our equation changes anything about the solution
Let's say I have a "nearly ideal" surface such as silicon wafer with around 5 nm roughness and I place something on it (with similar surface roughness) - then how can I move this object step by step at abysmal distances of just several nanometers, under 50 or so?
I assume bar friction...
I know graphene particles are small but how do I work with them separately? If you tell me easy-to-accomplish way for handling a single grain of graphene at home...OK. I was thinking about something like a very thin sheet of graphene, but in quantum measurements they are huge: micrometers and I...
Is there a general expression for the wave function $\psi$, which describes the electronic properties of an arbitrary covalent bond? For example is it equal to some sort of trigonometric expression?
The linear combination of the eigenfunctions gives solution to the Schrodinger equation. For a system with time independent Hamiltonian the Schrodinger Equation reduces to the Time independent Schrodinger equation(TISE), so this linear combination should be a solution of the TISE. It is not...
Wiki said "Arnold Sommerfeld calculated that, for a 1s orbital electron of a hydrogen atom with an orbiting radius of 0.0529 nm, α ≈ 1/137. That is to say, the fine-structure constant shows the electron traveling at nearly 1/137 the speed of light.[9] One can extend this to a larger element with...
I am performing ab initio calculations on a heteronuclear diatomic compound using the MRCI method on the MOLPRO quantum chemistry package. I obtained the molecular states of the compound but I was wondering how to find the molecular orbital configuration of each electronic state in addition to...
Here is my attempt at a solution. The thing I am not sure about is the final result of the Shrodinger equation and the n-values that are offered?
Did I make a math mistake?
Thank you so much for reading through this!
I am doing DMRG (in traditional formalism, not MPS) for Hubbard model
H = -t ∑i ∑σci,σ ci+1,σ + U∑ini,σni,σ-
In every iteration we add two sites to the system, but how do we set that how many particles are allowed in the system?
Hello,
I'd like to work in the above named center at the University of Georgia in Athens, Georgia under Dr. Henry Schafer. However, he's a professor in the chemistry department. I'm guessing if I go in the university as a physics graduate student I can't have him as a Ph.D advisor. However, is...
Hello, dear Quantum Chemists or Physicists.
I have been extensively researching the restricted closed-shell Hartree-Fock method, and wrote a code that is working for diatomic molecules, like H2 or He2++. I, however, have a few unresolved questions that do not allow me to proceed further in...
Astronomers can determine the presence various elements in a star through spectroscopy of the incoming light from that star. The characteristic spectral lines of each element are formed by electrons transitioning between the various orbital energy levels around the nucleus of their atom.
But...
To obtain spectroscopy on a gas like hydrogen or helium, an electric arc is passed through a container of the material, and then the emitted light is viewed through a prism which breaks it up into its component wavelengths. There are sharp lines which are formed, caused by excitation of the...
Homework Statement
Consider an ##H_2## molecule where the protons are separated by a wide
distance R and both are located on the z-axis. Ignoring the spin degrees
of freedom and treating the dipole-dipole interaction as a perturbation,
use perturbation theory to estimate an upper limit for the...
Suppose I want to find the ground states corresponding to several Hamiltonian operators ##\left\{ \hat{H}_i \right\}##, which are similar to each other. As an example, let's take the ##\hat{H}_i##:s to be anharmonic oscillator Hamiltonians, written in nondimensional form (##\hbar = m = 1##) as...
I bought this book "Idiot's Guide to Quantum Physics" I bought it because I know I am an idiot in quantum physics. Now I have a question about the contents. It says that:
"The four fundamental forces in nature (gravity, electromagnetism, plus two more that we'll formally introduce in Chapter...
The radiation of an atom was interpreted by time-independent schrodinger equation:electron was transformed from high energy level state to lower and emit a photon.Could we treat this process through a wavefunction ##{\psi}(t)##? Before emiting,the system's wavefunction is ##{\psi}(0)## and after...
This is a chemically inspired problem, but the path is fully quantum mechanics and a bunch of integrals.
How does one calculate fully quantum mechanical rate ($\kappa$) in the golden-rule approximation for two linear potential energy surfaces?
Attempt:
Miller (83) proposes...
Dear Everyone,
We are a research group doing research in computational sciences. We are considering ordering new computers for our research. I was wondering if anyone could advise us regarding the hardware specifications needed to run heavy and time-expensive programs, specifically in...
Hi all,
I have a question about the quantum nature of ionic bonds.
I know some ideas about molecular bonding which can combine two ground state of H atom
to get a bonding state and an anti-bonding state which in the case of H2 molecules it correspond to the covalent bonding (sharing of...
Dear Everyone,
I would like to ask a question regarding the evaluation of the coefficients in Linear Combination of Atomic Orbitals (LCAO). In Molecular Quantum Mechanics book authored by Peter Atkins and Ronald Friedman (Fourth Edition ISBN 0199274983), we are trying to calculate the...
I read a paper on how a magnetic field of 4 T was used to break the van der Waals forces of an HeO molecule with a binding energy of 11.2 cm-1. I'll put the link to my original post below. Can someone tell me how this energy was measured? Your assistance is greatly appreciated...
I have previously learned about the energy level calculation of some diatomic molecules, such as N2 and CO.
Now I need to calculate the spherical top symmetric molecules like CH4. But I cannot find the force constants for it either, can anyone give me some suggestions about this?
Hello everyone, I'm a graduate student in a biophysics lab. I'm trying to run a QM/MM simulation with a protein that binds 3 Ca2+ ions, and as such I am having a devil of a time getting the SCF to converge. I've tried DIIS, KDIIS, damping, and a few other methods to try to get convergence with...
I know to describe Quantum Mechanical systems we can use:
-Schrodinger equation
-Feynman Path Integral method
-Heisenberg Matrix formulation
Well my question is, if you want to calculate molecular properties, and want to understand biochemistry (protein), you have a system with several...
Why is the triplet state space wave function ΨT1=[1σ*(r1)1σ(r2)-1σ(r1)1σ*(r2)] (ie. subtractive)? How does it relate to its antisymmetric nature?
Also, why is this opposite for the spin wave function α(1)β(2)+β(1)α(2) (ie. additive)? And why is this one symmetric even though it describes the...
In the Hamilonian for an H2+, the kinetic energy of the electron (KE of nucleus ignored due to born-oppenheimer approximation) has a negative sign in front of it.
I understand the signs for the potential energy operators but not for the KE apart from the strictly mathematical point of view. Can...
Hi everyone, this isn't homework problem but something i would like to study and i am currently interested into. So how to start, this problem belongs more to quantum chemistry but i haven't found the topic in chemistry part of this site. I am learning to compute with program GAMESS but since...
While I have to admit the question in its summarized version seems to be not very well defined (and naive, of an easy answer), so that I desire to at least make it sound less stupid. Or at least I hope. After reading all of this it might sound even worse though (no promises).I like reading about...
For example, let's say that psi(q) is the wave function of an electron(which describes/represents the electron) that is located in an atom and isolated/unentangled from the rest of the system. What is the wave function value of this psi(q) ? What is the wave function for that whole atom(with...
Hi, I've been self studying physics for a few years and I'm looking for some new books, specifically on Quantum Mechanics or Quantum Chemistry. It doesn't matter if they are PDF files or actual books, and price doesn't really matter. I've read Feynmans Lectures books and I'm looking for the next...
When normalizing a Wavefunction for a particle on a ring why is the normalization only done as dPhi? It's a particle on a ring, so shouldn't it be r*dPhi? This is my thinking, but I do not find other solutions doing this, just ignoring the r part. I understand that for a ring it's just a...
Dear community!
I watched The Big Bang Theory and watched this episode. If you click on it you would get to a homepage - if you scroll down you would get to a section called Episode Questions -> Physics Bowl. According to the newspapers The Big Bang Theory have an employee who is scientist...
Hey all, I want to preface this with I wasn't sure if I should put this in the physics thread since it is quantum mechanics or in chemistry thread since this is for my Physical Chemistry course. I will gladly move the thread if the community feels it is more appropriate in the physics thread. I...
1. Consider a particle of mass m in a cubic (3-dimensional) box with V(x,y,z) = 0 for 0 < x < L, 0 < y < L, and 0 < z < L and V(x,y,z) = ∞elsewhere. Is 1/\sqrt{2} * (ψ(1,1,5)+ψ(3,3,3)) an eigenfunction of the Hamiltonian for this system? If so, what is the eigenvalue? Explain your reasoning
2...
'Relativistic Quantum Chemistry' -- Say whut?
So I just found out that one of my co-workers (well, someone who works in the same building with me but not directly with me) has a PhD in this field, he took like the last two weeks off for Christmas vacation, but when he explained to me some of...
So I am a chemistry major, but really like math and physics as well. I was wondering how necessary it would be to take quantum physics after taking two semesters of physical chemistry. I go to a small school and there aren't a host of physics classes, so quantum physics is the end of its road...
Homework Statement
For a 3-D, spherically symmetric, isotropic harmonic oscillator, use a trial function e^αr^2 as a variational parameter.
The Hamiltonian as given by the book is attached, as are two files showing screenshots of my attempt at the solution in Mathcad.
I've tried it two...