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zepelin [54]
3 years ago
12

Solution of the Schrödinger wave equation for the hydrogen atom results in a set of functions (orbitals) that describe the behav

ior of the electron. Each function is characterized by 3 quantum numbers: n, l, and ml. If the value of n = 1 ... The quantum number l can have values from to . ... The total number of orbitals possible at the n = 1 energy level is . If the value of l = 1 ... The quantum number ml can have values from to . ... The total number of orbitals possible at the l = 1 sublevel is .
Chemistry
1 answer:
evablogger [386]3 years ago
6 0

Answer:

If n=1, l can only have the value l=0 and the total number of orbitals is 0. If l=1, ml can be -1,0 or 1 and the total number of orbitals at l=1 is 3.

Explanation:

When solving the radial part of Schrödinger equation, one needs to expand in power series that lead to Laguerre polynomials of the form L_{n-l-1}(r), being n and l the quantum numbers. As is known, in the Laguerre polynomials the subindex must be greater than or equal to 0, which implies n-l-1\geq0. So if n=1, the only possible value of l is l=0.

Likewise, when solving the angular part, one gets the spherical harmonics Y_{l,m_l}(\theta,\phi)[\tex] as solution. One of the properties of spherical harmonics is that the number [tex]m_l[\tex] can only take the values  [tex]m_l=-l,-l+1,-l+2,...,l-1,l[\tex]. So if l=0, as above, [tex]m_l[\tex] can only take the value [tex]m_l=0,[\tex] thus giving only 1 orbital. But if l=1, [tex]m_l can be m_l=-1,0,1. Therefore the sublevel l=| has 3 possible orbitals.

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nika2105 [10]

Answer:

the importance of freezing in out daily lives

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On a recent trip to the US I looked up the weather forecast and it was in Fahrenheit. I couldn't remember exactly what the freezing point of water was in Fahrenheit so I had to look it up. The forecast was for precipitation so I needed to know if it was likely to fall as rain, freezing rain (very dangerous) or snow.

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When I'm hiking up a mountain wearing a Camelback hydration system I need to know if the temperatures will drop below freezing or I will not have any water to drink as the water line will freeze. Same with uninsulated water bottles, and your sandwich.

Explanation:

the importance of evaporation and condensation

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6 0
3 years ago
What is the pH of a solution with a concentration of 5.2 × 10–8 M H3O+?
lora16 [44]

Answer : The pH of a solution is, 7.28

Solution : Given,

Concentration of hydronium ion, H_3O^+ = 5.2\times 10^{-8}M

pH : It is defined as the negative logarithm of hydronium ion concentration or hydrogen ion concentration.

pH=-\log [H_3O^+]

Now put the value of hydronium ion concentration in this expression, we get the pH of the solution.

pH=-\log (5.2\times 10^{-8})=7.28

Therefore, the pH of a solution is, 7.28

7 0
3 years ago
Which gas is not a significant contributor to greenhouse gasses.?
Tresset [83]

Answer:

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Explanation:

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hope this helped.

8 0
2 years ago
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7 0
4 years ago
Do the solubility of all ionic solids increase as temperature increases?
kotykmax [81]
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Hope this helps mate =)
</span>
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3 years ago
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