Answer
357.6k+ views
Hint: Arrangement of ions or atoms of a crystalline solid in three dimensional structures is known as a crystal lattice. In simple words, a crystal lattice is an ordered array of points which describe the arrangement of atoms or ions in a solid. The crystal lattice is divided into seven basic crystal systems on the basis of the edge length and angles in the unit cell.
Complete answer: The seven basic crystal system of crystal lattice and the relation between the edge length and angles between vectors for each crystal system are as follows:
From the above table, it is clear that in the triclinic crystal system, the crystal is composed of vectors of unequal length and angle between these vectors must not be equal and must not include a right angle. The three-dimensional structure of a triclinic system is described as follows:
Examples of triclinic crystal systems are: ${K_2}{S_2}{O_8}$ and ${K_2}C{r_2}{O_7}$.
The triclinic lattice is the least symmetric lattice among all crystal systems. It is the only lattice type which does not have any mirror planes within its structure.
Hence, among given options the compound which exists in the triclinic system is potassium dichromate i.e., ${K_2}C{r_2}{O_7}$.
Therefore, option (A) is the correct answer.
Additional information-
The compounds given in the options other than potassium dichromate exist as following crystal system:
$N{a_3}Al{F_6}$: It exists as a monoclinic crystal system. Other examples for monoclinic crystal systems are $KN{O_2}$ and $A{s_4}{S_4}$.
$NaCl$: It exists as a Cubic crystal system, specifically as a face centred cubic unit system. Other examples for cubic systems are $Au$, $Si$ and $CsCl$.
Quartz: It exists as a trigonal crystal system which is a structural category of hexagonal crystal system.
Note:
It is important to note that the seven crystal systems can further be arranged into fourteen different three-dimensional arrangements or structures which are known as Bravais lattice. Since, there is no point of symmetry in the triclinic system, so it has only one Bravais lattice structure.
Complete answer: The seven basic crystal system of crystal lattice and the relation between the edge length and angles between vectors for each crystal system are as follows:
Crystal system | Edge length | Angles |
Cubic | $a = b = c$ | $\alpha = \beta = \gamma = {90^o}$ |
Tetragonal | $a = b \ne c$ | $\alpha = \beta = \gamma = {90^o}$ |
Orthorhombic | $a \ne b \ne c$ | $\alpha = \beta = \gamma = {90^o}$ |
Monoclinic | $a \ne b \ne c$ | $\alpha = \beta = {90^o}$$\gamma \ne {90^o}$ |
Hexagonal | $a = b \ne c$ | $\alpha = \beta = {90^o}$$\gamma = {120^o}$ |
Rhombohedral | $a = b = c$ | $\alpha \ne \beta \ne \gamma \ne {90^o}$ |
Triclinic | $a \ne b \ne c$ | $\alpha \ne \beta \ne \gamma \ne {90^o}$ |
From the above table, it is clear that in the triclinic crystal system, the crystal is composed of vectors of unequal length and angle between these vectors must not be equal and must not include a right angle. The three-dimensional structure of a triclinic system is described as follows:
![seo images](https://www.vedantu.com/question-sets/8c8082ec-03a1-4365-aaf1-42842eb5881c8884919037122439279.png)
Examples of triclinic crystal systems are: ${K_2}{S_2}{O_8}$ and ${K_2}C{r_2}{O_7}$.
The triclinic lattice is the least symmetric lattice among all crystal systems. It is the only lattice type which does not have any mirror planes within its structure.
Hence, among given options the compound which exists in the triclinic system is potassium dichromate i.e., ${K_2}C{r_2}{O_7}$.
Therefore, option (A) is the correct answer.
Additional information-
The compounds given in the options other than potassium dichromate exist as following crystal system:
$N{a_3}Al{F_6}$: It exists as a monoclinic crystal system. Other examples for monoclinic crystal systems are $KN{O_2}$ and $A{s_4}{S_4}$.
$NaCl$: It exists as a Cubic crystal system, specifically as a face centred cubic unit system. Other examples for cubic systems are $Au$, $Si$ and $CsCl$.
Quartz: It exists as a trigonal crystal system which is a structural category of hexagonal crystal system.
Note:
It is important to note that the seven crystal systems can further be arranged into fourteen different three-dimensional arrangements or structures which are known as Bravais lattice. Since, there is no point of symmetry in the triclinic system, so it has only one Bravais lattice structure.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)