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Drupady [299]
3 years ago
14

In IR spectroscopy, we normally talk about "frequencies" when in reality we are referring to wavenumbers. What is the mathematic

al relationship between frequency and wavenumber? Between wavenumber and wavelength? What are the units most commonly used for frequency, wavelength, and wavenumber?

Chemistry
1 answer:
Svetach [21]3 years ago
8 0

Answer:

Here's what I get.

Explanation:

(b) Wavenumber and wavelength

The wavenumber is the distance over which a cycle repeats, that is, it is the number of waves in a unit distance.

\bar \nu = \dfrac{1}{\lambda}

Thus, if λ = 3 µm,

\bar \nu = \dfrac{1}{3 \times 10^{-6} \text{ m}}= 3.3 \times 10^{5}\text{ m}^{-1} = \textbf{3300 cm}^{-1}

(a) Wavenumber and frequency

Since

λ = c/f and 1/λ = f/c

the relation between wavenumber and frequency is

\bar \nu = \mathbf{\dfrac{f}{c}}

Thus, if f = 90 THz

\bar \nu = \dfrac{90 \times 10^{12} \text{ s}^{-1}}{3 \times 10^{8} \text{ m$\cdot$ s}^{-1}}= 3 \times 10^{5} \text{ m}^{-1} = \textbf{3000 cm}^{-1}

(c) Units

(i) Frequency

The units are s⁻¹ or Hz.

(ii) Wavelength

The SI base unit is metres, but infrared wavelengths are usually measured in micrometres (roughly 2.5 µm to 20 µm).

(iii) Wavenumber

The SI base unit is m⁻¹, but infrared wavenumbers are usually measured in cm⁻¹ (roughly 4000 cm⁻¹ to 500 cm⁻¹).

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What are uses of metals??
blondinia [14]

Answer:

Different uses of Metals

Metals are usually very strong, most durable and highly resistant to everyday wear and tear. As such, they have been used since ancient times for a lot of things. And even today with advances in technology and a lot of other things the uses of metals have broadened greatly. Metals even play a key role in the economy. Let’s look at some important and popular metals uses.

In the Construction Industry

In electronics

In medicine

Machinery, Refractory and Automobiles

Decorative products

Other Uses

In the Construction Industry

Metals are the main component in the construction industry. Metals like iron, steel amongst others are the main materials used in construction of buildings and even homes.

In Electronics

Another important application of metals are in electronics. As metals are good conductors of electricity, they are used to making wires and parts for equipments and gadgets that function on electrical current. Popular examples include, TV, mobiles, fridge, iron, computers etc.

In medicine

If you are wondering how, well from a biological perspective metals are found as micro-elements in our bodies. Besides, the presence of metal elements is crucial for several functions like transmission of nerve impulses, oxygen flow, reaction between enzymes etc. Some medicines are therefore liaised with metal compounds to treat certain deficiencies or sickness. Metals like, iron, calcium, magnesium, potassium titanium, and aluminum are used commonly in medicine in the form of antacids.

Apart from this, most of the equipments and tools used are made from metals.

Machinery, Refractory and Automobiles

This is one of the most common use of metals. They are used extensively in manufacturing machines for industries, agriculture or farming and automobiles which include road vehicles, railways, airplanes, rockets etc. Here, the commonly used metals are iron, aluminum and steel.

Besides these, most of the utensils that is used in the kitchen are made from metals like steel, aluminum, and copper. Due to a high temperature withstanding nature metals are preferred the most.

Decorative products

Metals such as platinum, gold, and silver come under the category of precious metals and have high economical value. These metals are widely used in making jewellery sets or for some decorative piece.

Other Uses of Metals

Some other uses and applications of metals are, they play an important role in security as the metals are used in making locks, strong safe, doors etc. Apart from this, furnitures are made from metal these days. Metals also find their uses in the military where they are used to manufacturing weapons and ammunitions. Some metals are used in galvanizing to protect from rusting.

These are some popular uses of metal. To know more about metals, different types, properties of metals and more you can keep visiting BYJU’S or you can also download our app for interesting content and learning experience

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