normalize Ψnlm wavefunctions for an electron with n=3, l=1 and ml=0
If an electron is in the n=3 state l=1, list the possible
quantum states (n, l, ml, ms).
(n, l, m,, m)
The wavefunctions for a particle in a box are given by: ψn(x) = (2/L)^1/2 sin(nπx/L), with n=1,2,3,4. . . . Let’s assume an electron is trapped in a box of length L = 0.5 nm. (a) Light of what wavelength is needed to excite the electron from the ground to the first excited state? (b) Will that wavelength increase or decrease, if you exchange the electron with a proton? Why?
16- Which sets of quantum numbers are incorrect? a-n= 5,l= 3,ml=0 b-n= 4,l= 5,ml= -1 c-n= 2,l= 1,ml=1 d-n= 4,l= 3,ml=1/2 17-What are the names of the orbitals described by the following sets of quantum numbers? a-n= 4,l= 1 b-n= 2,l= 0 c-n= 6,l= 3 18- Give the values of the quantum numbers n and l for the following orbitals. a-3d b-4p c-7g
Select the quantum numbers ( n, l, ml , ms) for the first
electron removed in the formation of a cation for calcium.
A. 4, 0, 1,
B. 4, 1, 1,
C. 4, 0, 0, –
D. 4, 1 , 0, –
E. 4, 1, 0,
For the following sets of quantum numbers (n,l,ml,ms) for an electron, circle ALL of those that are NOT possible. a) (2, –1, 0, –½) b) (1, 0, 0, –½) c) (3, 2, 0, +½) d) (2, 0, 0, +½) e) (4, 2, +2, +½) f) (8, 1, –1, –½) g) (3, –2, +2, +½) please circle all that are not possible
Which of the following set of quantum numbers (ordered
n,l,ml,ms) are possible for an electron in an atom?
Quantum Number Rules Learning Goal: To learn the restrictions on each quantum number. Quantum numbers can be thought of as labels for an electron. Every electron in an atom has a unique set of four quantum numbers. The principal quantum number n corresponds to the shell in which the electron is located. Thus n can therefore be any integer. For example, an...
Given this set of quantum numbers for a multielectron atom, n=2, l=0, ml =0, ms =+1⁄2 and n=2, l=0, ml =0, ms =–1⁄2 which set of n and l quantum numbers corresponds to the lowest-energy configuration for the next additional electron?
What type of orbital (i.e.,3s,4p,...) is designated by these quantum numbers? A) n=4,l=1,ml=0 B) n=2,l=0,ml=0
What is the state label for a 4dz2 orbital? A) n=4, l=0, ml = -1 B) A n=4, l=1, ml = -1 C) A n=4, l=2, ml = -1 D) n=4, l=1, ml =0 E) A n=4, l=2, ml =0
Two-electron system. (A) Which of the following are physically valid wavefunctions for a two-electron system such as the He atom or the H2 molecule? (B) What property makes them physically valic wavefunctions? (a) y(12)-1s(1)a(1) . 1s(2)A(2) (c) Ψ(1,2)-Isa(1)IsE(2)-1sa(2)1sE(1). Multi-electron atom. Consider a sodium cation, Nat. (A) How many variables does the multi-electron wavefunction describing its ground state depend on? (B) How many kinetic-energy, repulsion and attraction terms are in the associated Hamiltonian?
Two-electron system. (A) Which of the following are...