Complete the table below:
The hydrogen emission spectrum has four series (or sets) of lines named Balmer, Brackett, Paschen, and Lyman. Indicate the energy (infrared, ultraviolet, or visible), the nf value for each series, and all possible ni values up to 7. ( Separate the values with commas from lowest to highest. The display will look odd with preceding commas, but that is normal.)
Series Energy nf ni
Balmer _______ _____ _____
Brackett _______ _____ _____
Paschen _______ _____ _____
Lyman _______ _____ _____
To complete the table, we need to determine the energy type, nf values, and all possible ni values for each series. Here's how we can find that information:
1. Balmer series:
The Balmer series lies in the visible part of the electromagnetic spectrum. The energy is visible light.
The nf values for the Balmer series can take any positive integer value greater than ni.
The possible ni values for the Balmer series up to 7 are:
1, 2, 3, 4, 5, 6, 7
2. Brackett series:
The Brackett series lies in the infrared part of the electromagnetic spectrum. The energy is infrared light.
The nf values for the Brackett series can take any positive integer value greater than ni.
The possible ni values for the Brackett series up to 7 are:
1, 2, 3, 4, 5, 6, 7
3. Paschen series:
The Paschen series lies in the infrared part of the electromagnetic spectrum. The energy is infrared light.
The nf values for the Paschen series can take any positive integer value greater than ni.
The possible ni values for the Paschen series up to 7 are:
1, 2, 3, 4, 5, 6, 7
4. Lyman series:
The Lyman series lies in the ultraviolet part of the electromagnetic spectrum. The energy is ultraviolet light.
The nf values for the Lyman series can take any positive integer value greater than ni.
The possible ni values for the Lyman series up to 7 are:
1, 2, 3, 4, 5, 6, 7
Now we can fill in the table:
Series Energy nf ni
Balmer Visible any positive integer value greater than ni: 2, 3, 4, 5, 6, 7 1, 2, 3, 4, 5, 6, 7
Brackett Infrared any positive integer value greater than ni: 2, 3, 4, 5, 6, 7 1, 2, 3, 4, 5, 6, 7
Paschen Infrared any positive integer value greater than ni: 2, 3, 4, 5, 6, 7 1, 2, 3, 4, 5, 6, 7
Lyman Ultraviolet any positive integer value greater than ni: 2, 3, 4, 5, 6, 7 1, 2, 3, 4, 5, 6, 7
Please note that there might be additional nf and ni values beyond 7, but the provided table only considers values up to 7.