The Numbers of Tetrahedral and Octahedral Holes in a Hexagonal Primitive Unit Cell Are

By Team Aakash Byju's | 8th November 2022 A) B) C) D)

The correct option is A) 12, 6.

[{"selector":"#anim-45b64506-f391-4d68-99d2-e1a06ec47efd","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-9a503451-8fec-439f-a80c-f8cf46a9720b","keyframes":{"transform":["translate3d(-158.26087%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-acf6aaac-9222-4794-9f63-be35bf025d30","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-7b3e8cfe-acbe-4e3b-afb7-9b5ac0a4c5de","keyframes":{"transform":["translate3d(-123.71795%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] Detailed Explanation Arrow

The crystal structure of a hexagonal primitive unit cell contains 6 atoms i.e., n=6.

[{"selector":"#anim-04ccba49-b409-4cab-885b-e6cc8c760d74","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-9f1bfbd3-8915-4ae8-a325-4a39aa3a00a5","keyframes":{"transform":["translate3d(-116.87898%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}]

The number of atoms in the crystal structure will be equal to the number of octahedral holes.

[{"selector":"#anim-a00bf18e-e2eb-42bc-adf0-4f13bd6acf60","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-2d504662-63cd-47c4-849e-8e0e2ac7dda9","keyframes":{"transform":["translate3d(-116.71925%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}]

Hence, the number of octahedral holes is equal to 6.

[{"selector":"#anim-59b03aa5-f117-4306-bcb0-c52f9ced2310","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-ad08e628-130c-41fb-a8a0-fdfffe31a44b","keyframes":{"transform":["translate3d(-118.72792%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}]

The number of tetrahedral holes is equal to two times the number of atoms in the crystal structure.

[{"selector":"#anim-b1c4b1b2-ce21-46ba-8cf0-3f33e3273871","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-5dfba667-a07c-43cc-a809-258fb0094d13","keyframes":{"transform":["translate3d(-116.71925%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}]

Therefore, the number of tetrahedral holes is equal to 2*6=12.

[{"selector":"#anim-422cee96-0a5d-467c-9e2c-cf9b8d32bfb5","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-35e57aaf-a3b7-491a-927d-cf855f039a5b","keyframes":{"transform":["translate3d(-116.71925%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}]

Electrolysis of Acidified Water Process Explained

[{"selector":"#anim-d70ecf49-314a-4412-b3fa-84fff99c1948","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-e31fa484-add9-4f52-8f46-0488d0e7e8f5","keyframes":{"transform":["translate3d(-139.16668%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-b68f196c-ade7-4c34-a028-e4b339e365e9","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-55e23181-1578-4520-9902-e65b9bf5b5b2","keyframes":{"transform":["translate3d(125.40541%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-2d1491f7-96d3-4b23-b4ce-3005f270f9b3","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-dbb74b44-b412-4b8e-a6aa-46c1014a3ab4","keyframes":{"transform":["translate3d(-136.66667%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-88510550-6566-4eb8-b006-6261b68de5da","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-a1003abc-da1f-4827-aa98-90c1652f101c","keyframes":{"transform":["translate3d(124.86487%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] Download Aakash App Now

The Numbers of Tetrahedral and Octahedral Holes in a Hexagonal Primitive Unit Cell Are

?

12, 6

8, 4

6, 12

2, 1

The correct option is A) 12, 6.

The crystal structure of a hexagonal primitive unit cell contains 6 atoms i.e., n=6.

Hexagonal Primitive Unit Cell

The number of atoms in the crystal structure will be equal to the number of octahedral holes.

Octahedral Holes

Hence, the number of octahedral holes is equal to 6.

Octahedral Holes

The number of tetrahedral holes is equal to two times the number of atoms in the crystal structure.

Crystal Square Structure

Therefore, the number of tetrahedral holes is equal to 2*6=12.

Tetrahedral Holes

Electrolysis of Acidified Water Process Explained

Read More Stories

Explanation of Ethane's Conformation | CBSE Organic Chemistry