Skip to main content
Ch.6 - Electronic Structure of Atoms
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoBrown 14th EditionCh.6 - Electronic Structure of AtomsProblema 66a
Capitolo 6, Problema 66a

(a) With reference to Figure 6.19, what is the relationship between the number of nodes in an s orbital and the value of the principal quantum number?
Graphs showing probability distributions for 1s, 2s, and 3s orbitals with nodes indicated.

Guida verificata passo dopo passo
1
Examine the provided graphs for the 1s, 2s, and 3s orbitals, noting the number of nodes in each.
Identify that the 1s orbital has 0 nodes, the 2s orbital has 1 node, and the 3s orbital has 2 nodes.
Recall that the principal quantum number (n) represents the energy level of the orbital.
Understand that the number of nodes in an s orbital is given by the formula: number of nodes = n - 1.
Conclude that as the principal quantum number (n) increases, the number of nodes in the s orbital also increases according to the relationship: number of nodes = n - 1.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
1m

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Principal Quantum Number (n)

The principal quantum number (n) indicates the energy level of an electron in an atom and is a positive integer (1, 2, 3, ...). As n increases, the electron's average distance from the nucleus increases, leading to higher energy levels. Each value of n corresponds to a different electron shell, with higher n values allowing for more complex orbital shapes and sizes.
Video consigliato:
Percorso guidato
02:55
Principal Quantum Number

Nodes in Orbitals

Nodes are regions in an atomic orbital where the probability of finding an electron is zero. The number of nodes in an orbital is directly related to the principal quantum number; specifically, the number of nodes increases as n increases. For s orbitals, the number of nodes is given by the formula n-1, meaning that a 1s orbital has no nodes, a 2s has one node, and a 3s has two nodes.
Video consigliato:
Percorso guidato
00:38
Radial Nodes Example

s Orbitals

s orbitals are spherical in shape and are characterized by their principal quantum number. Each s orbital can hold a maximum of two electrons and has a specific number of nodes based on its n value. The graphical representation of s orbitals shows how the probability of finding an electron varies with distance from the nucleus, highlighting the presence of nodes as the principal quantum number increases.
Video consigliato:
Percorso guidato
03:06
Molecular Orbital Theory
Pratica correlata
Domanda del libro di testo

(d) For the hydrogen atom, list the following orbitals in order of increasing energy (that is, most stable ones first): 4f, 6s, 3d, 1s, 2p.

859
views
Domanda del libro di testo

(a) For an He+ ion, do the 2s and 2p orbitals have the same energy? If not, which orbital has a lower energy?

862
views
Domanda del libro di testo

(c) What can you say about the average distance from the nucleus of an electron in a 2s orbital as compared with a 3s orbital?

678
views
Domanda del libro di testo

(b) Identify the number of nodes; that is, identify places where the electron density is zero, in the 2px orbital; in the 3s orbital.

748
views
Domanda del libro di testo

(d) For the hydrogen atom, list the following orbitals in order of increasing energy: 3s, 2s, 2p, 5s, 4d.

776
views