In atomic theory and quantum mechanics, an atomic orbital is a mathematical function describing the location and wave-like behavior of an electron in an atom. This function can be used to calculate the probability of finding any electron of an atom in any specific region around the atom's nucleus. The term atomic orbital may also refer to the physical region or space where the electron can be calculated to be present, as predicted by the particular mathematical form of the orbital.Each orbital in an atom is characterized by a unique set of values of the three quantum numbers n, ℓ, and ml, which respectively correspond to the electron's energy, angular momentum, and an angular momentum vector component (the magnetic quantum number). Each such orbital can be occupied by a maximum of two electrons, each with its own projection of spin
m
s
{\displaystyle m_{s}}
. The simple names s orbital, p orbital, d orbital, and f orbital refer to orbitals with angular momentum quantum number ℓ = 0, 1, 2, and 3 respectively. These names, together with the value of n, are used to describe the electron configurations of atoms. They are derived from the description by early spectroscopists of certain series of alkali metal spectroscopic lines as sharp, principal, diffuse, and fundamental. Orbitals for ℓ > 3 continue alphabetically, omitting j (g, h, i, k, ...) because some languages do not distinguish between the letters "i" and "j".Atomic orbitals are the basic building blocks of the atomic orbital model (alternatively known as the electron cloud or wave mechanics model), a modern framework for visualizing the submicroscopic behavior of electrons in matter. In this model the electron cloud of a multi-electron atom may be seen as being built up (in approximation) in an electron configuration that is a product of simpler hydrogen-like atomic orbitals. The repeating periodicity of the blocks of 2, 6, 10, and 14 elements within sections of the periodic table arises naturally from the total number of electrons that occupy a complete set of s, p, d, and f atomic orbitals, respectively, although for higher values of the quantum number n, particularly when the atom in question bears a positive charge, the energies of certain sub-shells become very similar and so the order in which they are said to be populated by electrons (e.g. Cr = [Ar]4s13d5 and Cr2+ = [Ar]3d4) can only be rationalized somewhat arbitrarily.
Homework Statement
http://avogadro.chem.iastate.edu/CHEM332/332Fall06Exam5Key.pdf
Please go to page 5.
Homework Equations
No equations, just concepts.
The Attempt at a Solution
I tried the first problem (A), and got the solution wrong. I thought I'd check the concepts before attempting any...
[SOLVED] molecular orbital model
I have a few quick questions:
consider the structure of glycine
a) indicate the hybridizations at each N and C atom in the molecule?
I got sp3, sp3, and sp2
I don't have a problem with that question
b) what is the total number of bonds in the...
Homework Statement
Determine the most probable radius for a 2s orbital (Hydrogen atom)
Homework Equations
Wavefunction for a 2s orbital:
1/(4√2pi*a^(3⁄2) ) (2-r⁄a) e^((-r)⁄(2a)) where, a=bohr radius
The Attempt at a Solution
First step:
find the probability density by...
Homework Statement
I have to show that the p orbital wavefunctions are orthonormal to eath other in l=1 subspace.
Homework Equations
The Attempt at a Solution
looking at my notes, I thought the expressions for p orb wavefunctions were:
Psi_px=sqrt(3/4pi) cos(phi) sin(theta)...
Homework Statement
Say you have a binary star sytem. Both stars have mass M and semimajor axis a. The orbits are extremely eccentric (e is approximately 1). How would you describe the energy of the system?
Homework Equations
SEE BELOW
The Attempt at a Solution
Basically I'm very...
Homework Statement
What is the ratio of the Earth's orbital period about the sun to the Earth's period of rotation about its own axis
Homework Equations
none, theory
The Attempt at a Solution
Its theory
Two 335 kg masses (744 lb) are separated by a distance of 5 m. Using...
I understand that light can be in an unstable orbit at Schwarzschild radial coordinate r=3M (geometric units) around a Schwarzschild black hole. I also understand that the local* circular orbital speed of a massive particle around the hole is
v_o = r\frac{d\phi}{dt} =...
A star has a mass approximately 100 times that of our sun. If a planet with the same mass as the Earth is oribiting at a radius similar to that of the Earth's radius around the sun, how long would it take the planet to revolve around the star once?
Ok, the period of the Earth's rotation is...
iI was asked to find the mass of a star given the orbital distance and the period. my mass came out to be 2.31^30 kg. Its then asking me to express it in terms of our sun's mass. Really don't understand what it means by that
Homework Statement
There is a planet of mass m_1 orbiting a star of mass m_2. One question is "What is the semimajor axis of the planet's orbit in the coordinate system centered at the star's center", and another is "What is the semimajor axis of the planet's orbit centered at the center of...
Homework Statement
The asteroid belt circles the sun between the orbits of Mars and Jupiter. One asteroid has a period of 4.2 Earth years. What are the asteroid's orbital radius and speed?
Homework Equations
T = 2pi sqrt(r/g)
The Attempt at a Solution
I tried manipulating the...
See attached image for problem description and diagram.
I am confused as to how to solve this problem (part A) because of the following. I know the altitude, and hence, radius of the circular orbit that both satellites are initially in. Since we know the radius, we can calculate the period of...
So it was basic to figure out the masses and such, but I'm not exactly sure what the "orbital separation" really is? Can someone enlighten me? Here is the question for reference:
A moon with a mass one quarter that of its parent planet orbits that
planet with a period of 12 days. The mass of...
Of an asteroid whose Mass is 2.0*10^-2 times that of Earth's and whose distance from the sun is twice the Earth's distance from the sun. Find the period in years.
I am supposed to use the concept of gravitational F=centripital force=m\frac{v^2}{r} and the fact that v=\frac{2\pi r}{T}
so this...
In some places I saw that the module of the kinetic orbital momentum of an electron in an atom is
a) L^2=l(l+1)h^/(4pi^2) ==> L =h/(2pi)sqrt(l*(l+1)) l=0,1,2,...n-1
b) L=n*h/(2pi)
n beeing the energy level of an electron .
Now , my opinion is that the first is true . But I saw...
This is not a homework problem. I want to learn how to perform this kind of “approach” calculation on my own. So I’m not interested in someone solving this particular problem, with these specific values, for me. What I want to know is what equations to use, and how to apply them, so that in the...
Help needed!
Could someone please answer the folloing questions.
Plese do give the explanations too
2- What is the energy of the lowest orbital and why?
3- If an electron makes a transition from 2nd to the first orbital than in which of the following particles will the...
Consider a two body system for simplicity: M1 << M2. M1 is in a circular orbit about M2.
The tangential speed of M1 is inversely proportional to its distance from the center of M2. However, in order to move to a lower orbit, or to de-orbit completely, M1 must lose tangential speed (in the...
Hi,
so I found a difference in what my professor wrote on the board and what I found on wikipedia... my prof said that
E=-Rhc/n^2
but wikipedia says
E=-mq^4/8(h^2)(epsilon)^2(n^2)
So if I write out the expression for R in the professor's equation, it seems that the wikipedia...
Hi. I was wondering how GR and/or SR is taken into account when the people over at NASA launch probes to comets, or any of the planets?
I know GPS uses GR and SR and I've read a bit about that. But do they need to take into account GR/SR when planning missions or is the Newtonian limit good...
I read in several places (including thenineplanets.org) that Pluto's poles are "almost perpendicular to its orbit". But the actual number I see is 122 degrees. So its polar axis is actually 32 degrees below its plane, right? (meaning that Earth sees the North pole of Pluto in its Southern limb)...
While studying the structure of 1,3 butadiene and considering frontier orbital theory, I came across a graph of the HOMO to LUMO orbitals.
Basically put, when I draw out all the res structures for 1,3 butadiene, i can make 4 of them (i know that 2 of them are very unstable and 1 of them...
Homework Statement
Consider the states for which l=4 and s=1/2.For the state wit hteh largest j, and the largest mj, calculate
a) the nagle between L and S
the angle between \mu_{l} and \mu_{s}
c) the angle between J and the +z axisHomework Equations
j=l+/-s
The Attempt at a Solution
the...
I have a question about orbital speed.
Imagine a shuttle moving in an orbit near the Earth surface,
its total energy is "-GMm/2r", so its total energy is directly proportional to -1/r
In order to spiral into another orbit of smaller radius which mean it would have a larger angular speed...
Awesome forum here!
I'm stuck on a homework problem and need some guidance.
A H-atom exists in a 3px state. What would be the result of measuring the total orbital angular momentum of this state (e.g. 100 measurements)?
I assume when they say 100 measurements that they mean the...
Homework Statement
Finally, develop models for only the four innermost planets and the four Galilean moons by reducing all the orbital radii by a factor that makes the orbital radius of the first planet or moon equal to one. Give possible reasons for the similarities and/or differences in two...
Homework Statement
The observed period of the binary system Cygnus X-1, presumed to be a bright star and a black hole, is equal to 5.6 days. If the mass of the visable (the star) is 20*Mass of the Sun, and the black hole has a mass 16*Mass of the Sun, show taht the semimajor axis of the orbit...
I don't think the problems I'm going to post are very difficult, but I'm totally clueless regarding chemistry, so they're pretty difficult for me ^^;; I also have a lot of questions to ask, so I hope you don't mind my sticking them all into one topic. I'm looking forward to your help. You don't...
I was reading Gullivers Travels to my son over Christmas and in a voyage to Laputa there is a passage illustrating their prowess at astronomy. The passage goes:
Not being an expert in planetary physics I was wondering is this passage:
a) Correct, in which case what are the actual...
Hello! First I am new at this forum and would like to say hello to everybody :)
Second- I am looking for a good tutorial on artificial Earth satellites orbit perturbations. Can somebody give me an advice where I can find it? Do you know any propagation algorithms for artificial satellites that...
Hello,
I plan to write a (modest) orbital simulator in C++, I am an experienced developer with an average knowledge of classic physics;
I would like to have some recommendations (recommended book reading, eventual existing C++ libraries that can help) before starting knowing that I need...
According to molecular orbital theory, which of the following species is the most likely to exist?
a) H_{2}^{-2}
b) He_{2}
c) Li_{2}
d) Li_{2}^{-2}
e) Be_{2}
I think the answer is c), due to it having a bond order of 1, but I just wanted to make sure.
If I want determine the specific orbital energy of something orbiting a black hole, will the vis-viva equation still apply? Or will it apply if I replace the euclidean coordinate rwith a radial coordinate? None of the above?
If the answer to the second question is yes, then what do I make of...
Homework Statement
Two planets A and B, where B has twice the mass of A, orbit the Sun in elliptical orbits. The semi-major axis of the elliptical orbit of planet B is two times larger than the semi-major axis of the elliptical orbit of planet A.
What is the ratio of the orbital period...
Hi everyone,
was hoping someone could help me to answer a question:
an ateroid has an equilibrium temperature measured as 200 K. What is the object's orbital period around the Sun?
That is the exact wording of that particular question and that's why I am a little stumped.. it also says...
Homework Statement
Hi everyone,
was hoping someone could help me to answer a question:
an ateroid has an equilibrium temperature measured as 200 K. What is the object's orbital period around the Sun?
That is the exact wording of that particular question and that's why I am a little...
Hi,
I'm having a lot of trouble with the following question.
Answer:
(σ1s)2 (σ*1s)2 (σ2s)2 (σ*2s)2 (π2py)2 (π2pz)1
If anyone can tell me how to obtain this answer, I would be very happy.
Thanks.
Mars travels around the sun in 1.88 (earth) years, in an approximately circular orbit with radius 2.28 x 10^8 kilometers determine
a)orbital speed of Mars relative to sun
b)mass of the sun..
for part a) i did
v= 2(pi)(r)/ T
which i got 2(3.14)(2.28x10^11 meters)/ 5.93 x10^7 seconds...
I'v been trying to work out this question for ages, but nothings quite working for me, here goes..
q. a) calculate the orbital radius of a synchronous satellite (one period of 24hr, so appears stationary above anyone point). Approximately how many radii of Earth is this orbital radius? Why...
Find the orbit radius of an Earth satellite in a circular orbit if the period if 1d.
I'm at a dead end. So far I have;
r^3 = (GMT^2) / (4(pi)^2)
r^3 = (6.67*10^(-11) * 6*10^(24)) / (4 * pi^2)
and I get
r = 21642
The book says 42.2Mm. I'm only off by a couple of million meters...
Hey guys.
Could someone please explain orbital decay to me, with reference to the kinetic energy lost, and stuff like that. Also i would like to know how the equation for mechanical energy in orbits is derived, and how it is used.
Thanks!
For the pairs below, I need to name the orbital they describe... I just am checking that I am on the right track:
a) n=5, l=0 >> 5s
b) n=3, l=1 >> 3p
c) n=4, l=2 >> 4d
if those are not correct, can someone lead me in the right direction?
What is the magnitude of the orbital velocity of the planet Mercury (orbit radius =5.79 * 10^{7} {km}, orbital period = 88.0 days)?
Ive been trying to solve this using this equation v=(2pi(57.9*10^9m))/(7.6*10^3)s
but it is not coming out right...the numbers in the equation are the units in...
The books said that total magnetic moment of an electron is spin + orbital magnetic moment.
But is the orbital magnetic moment realistic quantum mechanically? I thought electrons dosen't have a trajectory. The Stern Garlach experiment showed that silver atoms only split into two paths after...
In a molecular orbital diagram that shows the bonding of two electrons (like a diatomic molecule), there are sigma and pi bonds, and the sigma and pi antibonds. Here is an example: http://www.westga.edu/~chem/courses/chem410/410_09/sld024.htm
I don't understand how to determine where to put...
Hi all,
I've got some conceptual questions that I need to clear before my exam I hope someone can help me out here.
I understand that a geostationary satellite must orbit in the plane including the Earth's centre, in order to stay above a particular surface of the earth.
However, can a...
If ocean levels go up enough, will they have an impact on the Earth's rotational speed and the Moon's orbital radius? If so what will the effect be? It seems that all these things are tide to one another.
This is really cool.
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I notice the balls change speeds proportionate to their height on the wall as they follow their elliptical paths. Does their speed follow Kepler's 2nd Law?