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nikdorinn [45]
3 years ago
11

How to isolate scalars from a matrix

Mathematics
1 answer:
I am Lyosha [343]3 years ago
3 0
The technique of matrix isolation involves condensing the substance to be studied with a large excess of inert gas (usually argon or nitrogen) at low temperature to form a rigid solid (the matrix). The early development of matrix isolation spectroscopy was directed primarily to the study of unstable molecules and free radicals. The ability to stabilise reactive species by trapping them in a rigid cage, thus inhibiting intermolecular interaction, is an important feature of matrix isolation. The low temperatures (typically 4-20K) also prevent the occurrence of any process with an activation energy of more than a few kJ mol-1. Apart from the stabilisation of reactive species, matrix isolation affords a number of advantages over more conventional spectroscopic techniques. The isolation of monomelic solute molecules in an inert environment reduces intermolecular interactions, resulting in a sharpening of the solute absorption compared with other condensed phases. The effect is, of course, particularly dramatic for substances that engage in hydrogen bonding. Although the technique was developed to inhibit intermolecular interactions, it has also proved of great value in studying these interactions in molecular complexes formed in matrices at higher concentrations than those required for true isolation.
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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select t
hichkok12 [17]

The equation that has the same solution as  2.3p – 10.1 = 6.5p – 4 – 0.01p are as follows;

  • 2.3p – 10.1 = 6.49p – 4
  • 230p - 1010 = 649p - 400

<h3>How to rewrite an equation? </h3>

2.3p – 10.1 = 6.5p – 4 – 0.01p

The equation that has the same solution as above can be found as follows;

2.3p – 10.1 = 6.5p – 4 – 0.01p

combine like terms

2.3p – 10.1 = 6.5p – 0.01p - 4

2.3p – 10.1 = 6.49p – 4

Multiply through by 100.

Therefore,

230p - 1010 = 649p - 400

learn more on equation here: brainly.com/question/26005958

#SPJ1

4 0
2 years ago
14 1/2 - 2 1/3 what is the answer to this equation?
olchik [2.2K]

Answer:

12 1/6

It wants me to add more but there's nothing to add

7 0
2 years ago
Integral Calculation
Tatiana [17]

Answer:

\frac{4}{3(e^2+1)}

Step-by-step explanation:

We want to evaluate:

\int\limits^1_{-1} {\frac{x^2+1}{e^2+1} } \, dx

This is the same as:

\frac{2}{e^2+1} \int\limits^1_{0} {x^2+1} \, dx

We integrate to obtain:

\frac{2}{e^2+1} (\frac{x^3}{3}+x)|_0^1

We evaluate to obtain:

\frac{2}{e^2+1} (\frac{1^3}{3}+1)=\frac{4}{3(e^2+1)}

8 0
3 years ago
Which input value produces the same output value for
Natali5045456 [20]

Answer:

x=1

Step-by-step explanation:

it is the point of intersection of both lines which (1,1)

for x=1 both produce same value i.e.,1

7 0
3 years ago
Determine if the following infinite series converges or diverges
Mandarinka [93]

Using limits, it is found that the infinite sequence converges, as the limit does not go to infinity.

<h3>How do we verify if a sequence converges of diverges?</h3>

Suppose an infinity sequence defined by:

\sum_{k = 0}^{\infty} f(k)

Then we have to calculate the following limit:

\lim_{k \rightarrow \infty} f(k)

If the <u>limit goes to infinity</u>, the sequence diverges, otherwise it converges.

In this problem, the function that defines the sequence is:

f(k) = \frac{k^3}{k^4 + 10}

Hence the limit is:

\lim_{k \rightarrow \infty} f(k) = \lim_{k \rightarrow \infty} \frac{k^3}{k^4 + 10} = \lim_{k \rightarrow \infty} \frac{k^3}{k^4} = \lim_{k \rightarrow \infty} \frac{1}{k} = \frac{1}{\infty} = 0

Hence, the infinite sequence converges, as the limit does not go to infinity.

More can be learned about convergent sequences at brainly.com/question/6635869

#SPJ1

6 0
2 years ago
Read 2 more answers
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