dxy dyz A Figure 6.24 Contour representations of the flve d orbitals.

Q: Draw the plane (512) in 3D

A: Miller indices of a plane are proportional to the reciprocal of intercept of a particular plane on…

Q: Indisate if whether the specie is paramagnetic or diamagnetic. Explain.

A: Species which are having unpaired electrons - paramagnatic If electrons are paired up -…

Q: Write down the Hamiltonian for Hez* in fundamental (atomic) units. State any approximations that you…

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Q: Sketch the following orbitals (including the x, y, andz axes): 1s, 2px, 3dxy, 3dz2.

A: Orbitals have simply denoted the probability of electrons. Different orbitals have different shapes,…

Q: Show that the following hydrogenic wavefunctions are mutualy orthogonal a.) 1s and 2s orbitals b.)…

A: Two different functions (ψi, ψj) are said to be orthogonal when the integral of ψi * ψj is zero.

Q: The 4fz(x2-y2) orbital has the angular function Y = (constant)z(x2-y2)/r3 a. How many radial nodes…

A: For an atomic orbital, nodes are the regions where the probability of finding an electron is 0.…

Q: Sketch the form of the wavefunctions for the harmonic oscillator with quantum numbers v = 0 and 1.…

A: Harmonic oscillator explains vibrational motion of particle. In quantum mechanical model, the…

Q: It is given the electronic orbit of atom A with a circumference of 2.5 times the wavelength de…

A: The wave properties of matter or the wave nature of an electron is given by de Broglie equation: λ =…

Q: Explain (in point form) how a ground state hydrogen atom can emit IR and then BLUE visible light…

A: Explain (in point form) how a ground state hydrogen atom can emit IR and then BLUE visible light…

Q: Other s orbitals (such as 1s, 3s, etc. orbitals) have similar (iii) spherical boundary surfaces. How…

A: Here in 3rd question we are asked that how do we differentiate between the different types of the s…

Q: Consider the real part of the spherical harmonic Y2,+2. At which values of ϕ do angular nodes occur?…

A: The spherical harmonic Y2+2, is given below. The number of angular nodes is given by the formula…

Q: The 4fz(x2-y2) orbital has the angular function Y = (constant)z(x^2-y^2)/r^3 a. How many radial…

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Q: Construct the general form of linear combinations of atomic orbitals (LCAO) taking into…

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Q: E10CAla) Consider the C, molecule OF, take the molecule to lie in the yz-plane, with z directed…

A: Answer..

Q: Determine the normalization constant for =e-r/aby normalizing in all space of spherical polar…

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Q: Use the appropriate Hamiltonian operator and eigen function to calculate the eigenvalue for a…

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Q: Sketch the form of the wavefunctions for the harmonic oscillator with quantum numbers v = 1 and 2.…

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Q: can the function x2e-ax^2 be normalized in the range of -inf to inf, and if so what is the…

A: A wavefunction is normalized if:

Q: -clues:- A hydrogen alom, treated as a point mass. is confined to a one-dimensional square well of…

A: Rydberg equation is use to calculate the wavelength of the photon emitted by the electron and energy…

Q: Consider the following two systems: (a) an electron in a onedimensional box of length 1.0 Å and (b)…

A: (a)For an electron in a 1-D box, the length of the box is: The energy of the n energy levels can be…

Q: a. What is the spin multiplicity of the ground-state of the beryllium atom? b. What is the spin…

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Q: Name the Bravais lattice to which the following geometrical figures belong to: a brick, a prism, a…

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Q: What does each of the pictures represent? Give FULL EXPLANATIONS for your answer. (1) (2) (b) Look…

A: The orbitals are different According to their shapes. These are as follows.

Q: Determine the ground-state terms for the d and d configurations and their degeneracies.

A: To determine:  ground state terms for d3 and d6  their degeneracy = ?

Q: The accompanying drawingshows a contour plot for a dyzorbital. Consider the quantumnumbers that…

A: a)  The orbital shown is a d orbital which starts with n = 3 principal shell. Thus, the smallest…

Q: Write and evaluate the slater determinant for Li atom. Provide clear handwriting and clear image

A: Slater determinants are constructed by arranging spinorbitals in columns and electron labels in rows…

Q: does the mulli nmetrical with r- metrical withr

A: We know that the irreducible representations indicates a fundamental type of symmetry within the…

Q: (a) On the basis of nuclear shell model, arrange the nucleons in various shells/orbits and obtain…

A: The nuclear shell model is a model of the atomic nucleus which uses the Pauli exclusion principle to…

Q: Why 3D orbital is possible but 3f is not posssible? Explain it.

A: Orbitals are the space around the nucleus where there is a high probability to find an electron. The…

Q: The tables above show the radial wavefunctions and the spher atomic orbitals. Write down the…

A: wavefunction of hydrogen atom

Q: 1.Consider the Nitrogen atom (ZNitrogen=7). Write out all possible term symbols for the ground…

A: To find out term- symbol for ground electronic state of nitrogen , Consider -              Ground…

Q: What does it mean for orbitals to be degenerate and “transform together” (e.g. (??, ??) ?? ?3? )?

A: Degeneracy :

Q: which is the lowest energy free-ion for 3d* , high spin Speetro scopic state electron Confiquration.

A:

Q: Which of these wavefunctions are normalizable over their intervals? Normalize those that can be…

A: Given:-

Q: Since spin can have 2 possible orientations, what does this mean for the degeneracy?

A: Degeneracy means that any systems which possess equal energy. So a degenerate electrons will have…

Q: Determine the total angular momentum of the Gdt3 64. ions. Atomic nmumber of Gd is

A: The electronic configuration of Gd can be given as follows: Gd64:[Xe]4f75d16s2 Gd becomes Gd3+ by…

Q: The accompanying drawingshows a contour plot for a dyzorbital. Consider the quantumnumbers that…

A: Contour plots for any of the orbitals are basically the quantum mechanical treatment for them.

Q: (v) Describe how the px Py and pz orbitals are differentiated and named as such. (vi) Some people…

A: answer is descripted below

Q: Show that the wave functions  ψ2 and ψ3 of a particle in a one-dimensional box are orthogonal.

A: If the 2 wavefunction does not overlap with each other then the function are said to be orthogonal…

Q: obtain the relation between polarizability and distance between two atoms

A: Relation between polarozability and atomic radius is given as follows

Q: How will the following pairs of atomic orbitals interact if they approach along the indicated axis?

A: Constructive overlap: When two atomic orbitals interact constructively with the same sign of lobes…

Q: Write down a relation giving the number of electrons occupying the energy states between the energy…

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Q: Normalize this two-electron wavefunction a(1) a(2) |Y(1,2)) %3D B(1) B(2)

A: Let the normalisation constant be N

Q: Write out the full wave function for the 2py orbital for a hydrogen atom?

A:

Atomic Structure

The basic structure of an atom is defined as the component-level of atomic structure of an atom. Precisely speaking an atom consists of three major subatomic particles which are protons, neutrons, and electrons. Many theories have been stated for explaining the structure of an atom.

Shape of the D Orbital

Shapes of orbitals are an approximate representation of boundaries in space for finding electrons occupied in that respective orbital. D orbitals are known to have a clover leaf shape or dumbbell inside where electrons can be found.