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CHM1011 Study Guide - Quiz Guide: Radial Distribution Function, Principal Quantum Number, Angular Momentum

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magentadeer861
7 Aug 2018
School
Monash University
Department
Science - Chemistry
Course
CHM1011
Professor
Various

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Document Summary

Refers to the probability of finding an electron at a point in space (w2) with respect to distance from the nucleus. This probability decreases exponentially with increased distance from the nucleus. Also considers the probability of finding an electron (from w2) within a spherical shell at distance r from the nucleus. The volume of these shells increase as r increases, so this function forms a skewed bell curve. Represent unique solutions to the schrodinger equation. Principal quantum number: denoted as n, can take values of positive integers, determines orbital energy (size) Angular momentum number: denoted as l, can take values from 0 to n-1, determines orbital shape, values of 0, 1, 2 and 3 correspond to s, p, d, and f orbitals. Magnetic number: denoted as ml, can take integer values between -l and +l, including 0, determines orbital orientation. Defined as solutions to the schrodinger equation.

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Related Questions

Select all that are true, I know B and D are true but there aremore ones as well.
The s orbital is spherical (nondirectional) because:

A. an s orbital has angular nodes.
B. at a particular distance from the nucleus, the electronprobability is the same in all directions.
C. the angular wave function of an s orbital depends on the valueof l.
D. the angular wave function for all s orbitals is aconstant.
E. the angular wave function of an s orbital varies with theprincipal quantum number (n).
F. the electron probability is zero at the nucleus.

The principal quantum number, n, describes the energy level of a particular orbital as a function of the distance from the center of the nucleus. Additional quantum numbers exist to quantify the other characteristics of the electron. The angular momentum quantum number (?), the magnetic quantum number (m?), and the spin quantum number (ms) have strict rules which govern the possible values. Identify allowable combinations of quantum numbers for an electron.

Select all that apply.

n = 2, ?= 1, m?= 1, ms= 1

n = 5, ?= 4, m?= 4, ms=

The probability of finding an electron at a point in an atom is referred to as the probability density (ψ2). The spatial distribution of these densities can be derived from the radial wave function R(r) and angular wave function Y(θ,ϕ), then solving the Schrödinger equation for a specific set of quantum numbers.

Which of the following statements about nodes and probability density are accurate?

a-The 2s orbital does not have any nodes.
b-The probability of finding an electron at the center of a p orbital is zero.
c-The 3p orbitals have two nodes.
d-The probability of finding an electron at the center of a d orbital is greater than zero.
e-The 4f orbitals have three nodes.