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Area density
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==Usage== ===Atmospheric physics=== It is a quantity commonly retrieved by [[remote sensing]] instruments, for instance the [[Total Ozone Mapping Spectrometer]] (TOMS) which retrieves ozone columns around the globe. Columns are also returned by the [[differential absorption spectroscopy|differential optical absorption spectroscopy (DOAS)]] method<ref name="Sinreich_etal2008"> {{cite news |author1=R. Sinreich |author2=U. Frieß |author3=T. Wagner |author4=S. Yilmaz |author5=U. Platt | title=Retrieval of Aerosol Distributions by Multi-Axis Differential Absorption Spectroscopy (MAX-DOAS) | journal=Nucleation and Atmospheric Aerosols | year=2008 | pages= 1145–1149 | doi=10.1007/978-1-4020-6475-3_227 |isbn=978-1-4020-6474-6 }}</ref> and are a common retrieval product from [[nadir]]-looking [[microwave]] [[radiometers]].<ref name="Melseimer_Heygster2008"> {{cite journal |author1=C. Melsheimer |author2=G. Heygster | year=2008 | title=Improved retrieval of total water vapor over polar regions from [[Advanced Microwave Sounding Unit|AMSU]]-B microwave radiometer data | journal=IEEE Trans. Geosci. Remote Sens. | volume=46 | number=8 | pages=2307–2322 | doi=10.1109/TGRS.2008.918013 |bibcode = 2008ITGRS..46.2307M |s2cid=20910677 }}</ref><ref name="Melseimer_etal2009"> {{cite news |author1=C. Melsheimer |author2=G. Heygster |author3=N. Mathew |author4=L. Toudal Pedersen | year=2009 | title=Retrieval of Sea Ice Emissivity and Integrated Retrieval of Surface and Atmospheric Parameters over the Arctic from [[AMSR]]-E data| journal=Journal of the Remote Sensing Society of Japan | volume=29 | number=1 | pages= 236–241 }}</ref> A closely related concept is that of ice or [[liquid water path]], which specifies the volume per unit area or depth instead of mass per unit area, thus the two are related: <math display=block>P = \frac{\sigma}{\rho_0}.</math> Another closely related concept is [[optical depth]]. ===Astronomy=== {{expand section|date=August 2015}} In astronomy, the column density is generally used to indicate the number of atoms or molecules per square cm (cm<sup>2</sup>) along the line of sight in a particular direction, as derived from observations of e.g. the 21-cm [[hydrogen line]] or from observations of a certain molecular species. Also the [[Extinction (astronomy)|interstellar extinction]] can be related to the column density of H or H<sub>2</sub>.<ref>{{Cite web|url=http://astronomy.swin.edu.au/cosmos/C/Column+Density|title = Column Density | COSMOS}}</ref> The concept of area density can be useful when analysing [[accretion disk]]s. In the case of a disk seen face-on, area density for a given area of the disk is defined as column density: that is, either as the [[mass]] of [[chemical substance|substance]] per unit [[area]] [[integral|integrated]] along the vertical path that goes through the disk [[Sightline|(line-of-sight)]], from the bottom to the top of the medium: <math display=block>\sigma = \int \rho \, \mathrm{d}z,</math> where <math>z</math> denotes the vertical coordinate (e.g., height or depth), or as the number or count of a substance—rather than the mass—per unit area integrated along a path (column number density): <math display=block>N = \int n \, \mathrm{d}z.</math> ===Data storage media=== {{Main article|Areal density (computer storage)}} Areal density is used to quantify and compare different types media used in data storage devices such as [[hard disk drives]], [[optical disc|optical disc drives]] and [[tape drives]]. The current unit of measure is typically gigabits per square inch.<ref>{{cite web |url=http://www.webopedia.com/TERM/A/areal_density.html |title=Areal Density |date=3 March 1997 |publisher=Webopedia |access-date= April 9, 2014}}</ref> ===Paper=== {{main|grammage}} The area density is often used to describe the thickness of paper; e.g., 80 g/m<sup>2</sup> is very common. ===Fabric=== {{main|grammage}} Fabric "weight" is often specified as mass per unit area, grams per square meter (gsm) or [[ounce]]s per square yard. It is also sometimes specified in ounces per yard in a standard width for the particular cloth. One gram per square meter equals 0.0295 ounces per square yard; one ounce per square yard equals 33.9 grams per square meter. ===Other=== It is also an important quantity for the [[Absorption (electromagnetic radiation)|absorption of radiation]]. When studying bodies falling through air, area density is important because resistance depends on area, and gravitational force is dependent on mass. [[Bone density]] is often expressed in grams per square centimeter (g·cm<sup>−2</sup>) as measured by x-ray absorptiometry, as a proxy for the actual density. The [[body mass index]] is expressed in units of kilograms per square meter, though the area figure is nominal, being the square of the height. The [[total electron content]] in the ionosphere is a quantity of type columnar number density. [[Snow water equivalent]] is a quantity of type columnar mass density.
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