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Modern Quantum Theory

First-order Correction in Ground State of Particle

Calculate the first-order correction to the ground-state energy of a particle in a three dimensional box with the perturbation: H^1 = V in the range a/4 < x < 3a/4, b/4 < y < 3b/4 , c/4 < z < 3c/4 where H^1=0 otherwise V=hv (See attached file for full problem description)

Ammonia and Infrared Active Bands

Set up your own character table for the ammonia molecule and use it to determine the number and kinds of infrared and Raman active bands predicted by GOT. Make the C3 operation along the z axis. (See attached file for full problem description)

Secular Determinant

Set up the secular determinant for benzene pi electrons as done in class for ethene. Label the energy level diagram shown below with the correct terms in alpha and beta. (See attached file for full problem description and diagram)

Potassium iodide in water and bring the volume of solution

#1 You dissolve 12.6352 g of potassium iodide in water and bring the volume of solution to 250.0 ml. What is the molar concentration of KI? #2 What volume of 0.0436 molar hydrochloric acid is required to react with 30.0 ml of 0.0278 molar LiOH? #3 An AM radio station broadcasts using electromagnetic radiation at 1490 kiloh

Determining the number and location of angular and radial nodes

2. For each of the following orbitals, provide a perspective sketch of the orbital in the Cartesian x, y, z coordinate system. Determine the number of angular nodes and the number of radial nodes in the orbital, and describe where those nodes fall. For instance, the 2px orbital has an angular node in the yz-plane. a) 1s b)

Protons and Neutrons in Nucleus

I need some help in determining the number of protons and the number of neutrons in the nucleus of the following atoms and the number of electrons in their first and quantum shells: 10/5B 14/6C 3/2He 40/19K 16/8O

General Chemistry

Of the following, which gives the correct order for atomic radius for Mg, Na, P, Si and Ar? a. Si > P > Ar > Na > Mg b. Ar > Si > P > Na > Mg c. Ar > P > Si > Mg > Na d. Mg > Na > P > Si > Ar e. Na > Mg > Si > P > Ar A tin atom has 50 electrons. Electrons in the ___________ subshell experience the lowest effecti

The Properties of Atoms

Hi, I need some assistance with the following questions: In the Bohr model of the atom, _____. a) electrons travel in circular paths called orbitals b) electrons can have any energy c) electron energies are quantized d) electron paths are controlled by probability e) both a and c The de Broglie wavelength of a bullet

Bohr hydrogen atom- transitions

1) Of the following transitions in the Bohr hydrogen atom, the __________ transition results in the emission of the highest-energy photon. a. n = 3 -> n = 6 b. n = 6 -> n = 3 c. n = 1 ->n = 4 d. n = 6 ->n = 1 e. n = 1 ->n = 6 2) The frequency of elect

Short Answers for general chemistry, mainly related to atoms.

Question 6 True/False 20 points The number of electrons in orbital 5f6 is 5 electons. True False Question 7 Multiple Choice 20 points Beginning at Argon, Ar, the electron configuration of a Copper atom (Cu) is: [Ar]4s24d4 [Ar]4s24p63d3 [Ar]4s23d7 [Ar]3d104s1 Question 8

Spectrum, Quantum Numbers, Orbital Shapes

1. When an electrical discharged is passed through hydrogen gas, a unique four line spectrum is observed. One of the two blue wavelengths is observed at 411 nm. Calculate the frequency of this blue line. {See attachment for multiple choice options} 2. Calculate the engergy if 3 moles of photons are produced if the frequency o

Complex Color Causation

An aqeuous solutino of Ni(No3)2 is green. Addition of aqueous solution Nh3 causes the color of the solution to change blue. If the ethylenediamine is added to the green solution, the color changes to violet. What causes the colors of these complexes? How do these colors relate to the expected positions of these ligands in the sp

Electronic Spectra and Coordination Chemistry

For the isoelectronic series[V(CO)6]-, Cr(CO)6, and [Mn(Co)6]+, does the energy of the metal to ligand charge-transfer bands increase or decrease with increasing charge on the complex? Why?

Octet rule

Elements in the first short period are limited by the octect rule whereas those in the higher period can expand their valence shells. Describe what this means, account for this phenomenon and give an example of each.

Electronic Structure of Bismuth

Consider the electronic structure of the element bismuth. a) The first ionization energy of bismuth is Ei1 = +703 kJ / mol. What is the longest possible wavelength of light that could ionize an atom of bismuth? b) Write the electronic configurations of neutral Bi and Bi+ cation. c) What are the n and l quantum numbers of the

Energy of Electrons

An electron microscope employs a beam of electrons to obtain an image of an object. What energy must be imparted to each electron of the beam to obtain a wavelength of 10.0pm? Obtain the energy in electron volts (eV) (1eV= 1.602x10^-19J )

Atomic Emission Spectra

For each line in the hydrogen spectrum, how do you deduce n2 (the upper state) and n1 (lower state)? If you could record the absorption spectrum of hydrogen gas, what would it look like? What is the vapour (or gas) present in fluorescent lights? How do you know?

Electronic Configuration

Write the electron configurations for Mg and Ar, using both the spdf notation and orbital box diagrams. Describe the relation of the atom's electron configuration to its position in the periodic table. electron configuration for Mg___________ spdf____________________ orbital box diagram: electron configuration for A

Wavelength, Quantum numbers questions

If energy is absorbed by a hydrogen atom in its general state, the atom is excited to a higher energy state. For example, the excitation of an electron from the level with n=1 to the level n=3 requires radiation with a wavelength of 102.6 nm. Which of the following transitions would require radiation of longer wavelength then

Weigh Out, Precipitate, and Electron Problems

40) A student wishes to repair 2.00 liters of 0.100 M KlO3 (molecular mass 214). The proper procedure is to weigh out: a) 42.8 grams of KIO3 and add 2.00 kilograms of H2O a) 42.8 grams of KIO3 and add H2O until the final homogeneous solution has the volume of 2.00 liters b) 21.4 grams of KIO3 and add H2O until the final homog

Orbitals and Quantum number

What is the total number of p electrons in a single (ground state) P atom? Electron configuration of P is [Ne]3s2 3p3

Bohr's Model Type of Equation

One of the hydrogen emission lines has a wavelength of 486.0 nm. Identify the values for n-initial and n-final for the transition giving rise to this line. (Enter as two integers, separated by a comma: e.g. 2,1 or 3,2 etc.) c:3.00E8 m/s h:6.63E-34Js R:2.18E-18J Please could you explain how you got the nfinal and the n