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Irradiance vs. Insolation Irradiance and Insolation Irradiance is to power as insolation is to energy. Or in other words: Irradiance is an instantaneous measurement of solar power over some area. The units of irradiance are watts per square meter. For practical purposes of measurement and interpretation, irradiance is expressed and separated into different components Insolation is a measurement of the cumulative energy measured over some area for a defined period of time (e.g., annual, monthly, daily, etc.). The common unit of Insolation is kilowatt hours per square meter. But for these units to make sense the time interval must be clearly stated (e.g., kW-hr per square meter annual insolation). Irradiance vs. Insolation There are multiple different ways to measure light intensity/radiation, however in terms of Solar and PV-technology specifically, there are two main practical and applicable means of measuring light: irradiance and insolation. A third useful means of measurement is the color, or frequency of the light being measured, however this is used in the industry far less often. Frequency measurements focus on the energetic difference between red, green, blue, or other forms of light, like UV or inferred. Higher frequency photons contain more energy than lower energy photons. Consequently, blue or violet light has more energy per photon than red or inferred light. For the most part, many of the PV-modules on the market in the past few years can only absorb mostly red and green light, reflecting some of the blue light. This is why most PV modules appear to be somewhat dark blue. The darker the PV module appears, generally the more efficient it is as absorbing light. Since there is no practical way to measure the energy in each photon directly, a more effective means of measurement is needed. The easiest form is to start off with the area of material that is intended to absorb the light to be measured, like a square meter, and then determine the amount of energy that strikes that surface. However one important point to note is that light can be different brightness at different times. Should the measurement focus on the total energy being absorbed by the surface area, or just what’s striking the surface at any given moment? This question gives rise to the two different forms of measurement of light: irradiance and insolation. Irradiance is the rate of energy that is being delivered to a surface area at any given time. Its units are Watts per square meter. That means that for any given surface area A, there exists a specific amount of power P that is being delivered to that area in photonic form. The equation is shown below: Irradiance = Power / Area Insolation is the total amount of energy that has been collected on a surface area within a given time. While the irradiance denotes the instantaneous rate in which power is delivered to a surface, the insolation denotes the cumulative sum of all the energy striking the surface for a specified time interval. This interval must be specified in order to make sense, and the typical unit of time measurement is the hour. Since energy is equal to the rate of power P being delivered for a specified time T, the resultant insolation equation is as follows: Insolation = Power * Time / Area or = Power / Area (=irradiance) * Time An important point to note about insolation is that while delivering the light data in a more simplistic form, when compared to an irradiance measurement, data is lost. The irradiance measurement ideally is an instantaneous measurement of light intensity. So for example if the light being measured changed or varied its intensity over time, an irradiance measurement would be able to detect and display such an event, while an insolation measurement would not. In the example shown below, two days of irradiance and insolation measurements are shown. The first day shows a cloudy day, with the sun mostly obscured by clouds and intermittent measurements. The second day recorded a hardware malfunction occurring, and the measurements suddenly stopping. With the irradiance measurement, it is very easy to see the difference between these two days of data. The first day is a non-issue from the perspective of maintenance and repair; but the second day denotes a very clear and lasting problem that needs an immediate response. However, since the measurements of insolation sum up to the same value for both days, any repair personnel relying on insolation data to look for problems wouldn’t even notice that there is an issue. Not to be confused with Insulation (disambiguation). Annual mean insolation at the top of Earth's atmosphere (top) and at the planet's surface US annual average solar energy received by a latitude tilt photovoltaic cell (modeled) Average insolation in Europe; also see Insolation map of Europe and Africa for freerlicence map. Insolation is a measure of solar radiation energy received on a given surface area and recorded during a given time. It is also called solar irradiation and expressed as "hourly irradiation" if recorded during an hour or "daily irradiation" if recorded during a day. The unit recommended by the World Meteorological Organization is megajoules per square metre (MJ/m2) or joules per square millimetre (J/mm2) .[1] Practitioners in the business of solar energy may use the unit watt-hours per square metre (Wh/m2). If this energy is divided by the recording time in hours, it is then a density of power called irradiance, expressed in watts per square metre (W/m2). Contents [hide] 1 Absorption and reflection 2 Projection effect 3 Earth's insolation 4 Distribution of insolation at the top of the atmosphere o 4.1 Application to Milankovitch cycles 5 Applications 6 See also 7 References 8 External links [edit] Absorption and reflection The object or surface that solar radiation strikes may be a planet, a terrestrial object inside the atmosphere of a planet, or an object exposed to solar rays outside of an atmosphere, such as spacecraft. Some of the radiation will be absorbed and the remainder will be reflected. Usually the absorbed solar radiation is converted to thermal energy, causing an increase in the object's temperature. Manmade or natural systems, however, may convert a portion of the absorbed radiation into another form, as in the case of photovoltaic cells or plants. The proportion of radiation reflected or absorbed depends on the object's reflectivity or albedo. [edit] Projection effect The insolation into a surface is largest when the surface directly faces the Sun. As the angle increases between the direction at a right angle to the surface and the direction of the rays of sunlight, the insolation is reduced in proportion to the cosine of the angle; see effect of sun angle on climate. Figure 2 One sunbeam one mile wide shines on the ground at a 90° angle, and another at a 30° angle. The oblique sunbeam distributes its light energy over twice as much area. In this illustration, the angle shown is between the ground and the sunbeam rather than between the vertical direction and the sunbeam; hence the sine rather than the cosine is appropriate. A sunbeam one mile (1.6 km) wide falls on the ground from directly overhead, and another hits the ground at a 30° angle to the horizontal. Trigonometry tells us that the sine of a 30° angle is 1/2, whereas the sine of a 90° angle is 1. Therefore, the sunbeam hitting the ground at a 30° angle spreads the same amount of light over twice as much area (if we imagine the sun shining from the south at noon, the north-south width doubles; the east-west width does not). Consequently, the amount of light falling on each square mile is only half as much. This 'projection effect' is the main reason why the polar regions are much colder than equatorial regions on Earth. On an annual average the poles receive less insolation than does the equator, because at the poles the Earth's surface are angled away from the Sun. [edit] Earth's insolation Solar radiation map of Africa and Middle East A pyranometer, a component of a temporary remote meteorological station, measures insolation on Skagit Bay, Washington. Direct insolation is the solar irradiance measured at a given location on Earth with a surface element perpendicular to the Sun's rays, excluding/less diffuse insolation (the solar radiation that is scattered or reflected by atmospheric components in the sky). Direct insolation is equal to the solar constant minus the atmospheric losses due to absorption and scattering. While the solar constant varies with the Earth-Sun distance and solar cycles, the losses depend on the time of day (length of light's path through the atmosphere depending on the Solar elevation angle), cloud cover, moisture content, and other impurities. Insolation is a fundamental abiotic factor[2] affecting the metabolism of plants and the behavior of animals. Over the course of a year the average solar radiation arriving at the top of the Earth's atmosphere at any point in time is roughly 1366 watts per square metre[3][4] (see solar constant). The radiant power is distributed across the entire electromagnetic spectrum, although most of the power is in the visible light portion of the spectrum. The Sun's rays are attenuated as they pass through the atmosphere, thus reducing the irradiance at the Earth's surface to approximately 1000 W /m2 for a surface perpendicular to the Sun's rays at sea level on a clear day. The actual figure varies with the Sun angle at different times of year, according to the distance the sunlight travels through the air, and depending on the extent of atmospheric haze and cloud cover. Ignoring clouds, the daily average irradiance for the Earth is approximately 250 W/m2 (i.e., a daily irradiation of 6 kWh/m2), taking into account the lower radiation intensity in early morning and evening, and its near-absence at night. The insolation of the sun can also be expressed in Suns, where one Sun equals 1000 W/m2 at the point of arrival, with kWh/m2/day expressed as hours/day.[5] When calculating the output of, for example, a photovoltaic panel, the angle of the sun relative to the panel needs to be taken into account as well as the insolation. (The insolation, taking into account the attenuation of the atmosphere, should be multiplied by the cosine of the angle between the normal to the panel and the direction of the sun from it). One Sun is a unit of power flux, not a standard value for actual insolation. Sometimes this unit is referred to as a Sol, not to be confused with a sol, meaning one solar day on a different planet, such as Mars.[6] [edit] Distribution of insolation at the top of the atmosphere Spherical triangle for application of the spherical law of cosines for the calculation the solar zenith angle Θ for observer at latitude φ and longitude λ from knowledge of the hour angle h and solar declination δ. (δ is latitude of subsolar point, and h is relative longitude of subsolar point). , the theoretical daily-average insolation at the top of the atmosphere, where θ is the polar angle of the Earth's orbit, and θ = 0 at the vernal equinox, and θ = 90° at the summer solstice; φ is the latitude of the Earth. The calculation assumed conditions appropriate for 2000 A.D.: a solar constant of S0 = 1367 W m−2, obliquity of ε = 23.4398°, longitude of perihelion of ϖ = 282.895°, eccentricity e = 0.016704. Contour labels (green) are in units of W m−2. The theory for the distribution of solar radiation at the top of the atmosphere concerns how the solar irradiance (the power of solar radiation per unit area) at the top of the atmosphere is determined by the sphericity and orbital parameters of Earth. The theory could be applied to any monodirectional beam of radiation incident onto a rotating sphere, but is most usually applied to sunlight, and in particular for application in numerical weather prediction, and theory for the seasons and the ice ages. The last application is known as Milankovitch cycles. The derivation of distribution is based on a fundamental identity from spherical trigonometry, the spherical law of cosines: where a, b and c are arc lengths, in radians, of the sides of a spherical triangle. C is the angle in the vertex opposite the side which has arc length c. Applied to the calculation of solar zenith angle Θ, we equate the following for use in the spherical law of cosines: The distance of Earth from the sun can be denoted RE, and the mean distance can be denoted R0, which is very close to 1 AU. The insolation onto a plane normal to the solar radiation, at a distance 1 AU from the sun, is the solar constant, denoted S0. The solar flux density (insolation) onto a plane tangent to the sphere of the Earth, but above the bulk of the atmosphere (elevation 100 km or greater) is: and The average of Q over a day is the average of Q over one rotation, or the hour angle progressing from h = π to h = −π: Let h0 be the hour angle when Q becomes positive. This could occur at sunrise when , or for h0 as a solution of or If tan(φ)tan(δ) > 1, then the sun does not set and the sun is already risen at h = π, so ho = π. If tan(φ)tan(δ) < −1, the sun does not rise and . is nearly constant over the course of a day, and can be taken outside the integral Let θ be the conventional polar angle describing a planetary orbit. For convenience, let θ = 0 at the vernal equinox. The declination δ as a function of orbital position is where ε is the obliquity. The conventional longitude of perihelion ϖ is defined relative to the vernal equinox, so for the elliptical orbit: or With knowledge of ϖ, ε and e from astrodynamical calculations [7] and So from a consensus of observations or theory, can be calculated for any latitude φ and θ. Note that because of the elliptical orbit, and as a simple consequence of Kepler's second law, θ does not progress exactly uniformly with time. Nevertheless, θ = 0° is exactly the time of the vernal equinox, θ = 90° is exactly the time of the summer solstice, θ = 180° is exactly the time of the autumnal equinox and θ = 270° is exactly the time of the winter solstice. [edit] Application to Milankovitch cycles Obtaining a time series for a for a particular time of year, and particular latitude, is a useful application in the theory of Milankovitch cycles. For example, at the summer solstice, the declination δ is simply equal to the obliquity ε. The distance from the sun is Past and future of daily average insolation at top of the atmosphere on the day of the summer solstice, at 65 N latitude. The green curve is with eccentricity e hypothetically set to 0. The red curve uses the actual (predicted) value of e. Blue dot is current conditions, at 2 ky A.D. For this summer solstice calculation, the role of the elliptical orbit is entirely contained within the important product , which is known as the precession index, the variation of which dominates the variations in insolation at 65 N when eccentricity is large. For the next 100,000 years, with variations in eccentricity being relatively small, variations in obliquity will be dominant. [edit] Applications In spacecraft design and planetology, it is the primary variable affecting equilibrium temperature. In construction, insolation is an important consideration when designing a building for a particular climate. It is one of the most important climate variables for human comfort and building energy efficiency.[8] Insolation variation by month; 1984-1993 averages for January (top) and April (bottom) The projection effect can be used in architecture to design buildings that are cool in summer and warm in winter, by providing large vertical windows on the equator-facing side of the building (the south face in the northern hemisphere, or the north face in the southern hemisphere): this maximizes insolation in the winter months when the Sun is low in the sky, and minimizes it in the summer when the noonday Sun is high in the sky. (The Sun's north/south path through the sky spans 47 degrees through the year). Insolation figures are used as an input to worksheets to size solar power systems for the location where they will be installed.[9] This can be misleading since insolation figures assume the panels are parallel with the ground, when in fact they are almost always mounted at an angle[10] to face towards the sun. This gives inaccurately low estimates for winter.[11] The figures can be obtained from an insolation map or by city or region from insolation tables that were generated with historical data over the last 30–50 years. Photovoltaic panels are rated under standard conditions to determine the Wp rating (watts peak),[12] which can then be used with the insolation of a region to determine the expected output, along with other factors such as tilt, tracking and shading (which can be included to create the installed Wp rating).[13] Insolation values range from 800 to 950 kWh/(kWp·y) in Norway to up to 2,900 in Australia. In the fields of civil engineering and hydrology, numerical models of snowmelt runoff use observations of insolation. This permits estimation of the rate at which water is released from a melting snowpack. Field measurement is accomplished using a pyranometer. Conversion factor (multiply top row by factor to obtain side column) W/m2 kW·h/(m2·day) sun hours/day kWh/(m2·y) kWh/(kWp·y) W/m2 1 41.66666 41.66666 0.1140796 0.1521061 kW·h/(m2·day) 0.024 1 1 0.0027379 0.0036505 sun hours/day 0.024 1 1 0.0027379 0.0036505 kWh/(m2·y) 8.765813 365.2422 365.2422 1 1.333333 kWh/(kWp·y) 6.574360 273.9316 273.9316 0.75 1 Fundamental Insolation Terms and Concepts This Section: Insolation Definitions Types of Radiation Tilt Angle Sun Angle and Insolation Air Mass Day Length Clouds and Pollution This page is one of three introducing insolation-concepts. An overview is at insolation. The other two pages are: insolation definitions and types of radiation. . "Talking about how sunny it is is rather too jejeune for me. Let's discuss insolation instead." . . This page defines some terms that are often used when discussing solar energy. After defining "solar radiation" and "insolation", we differentiate between "irradiance" and "irradiation." We then explain how we'll be using "solar intensity" on all of our insolation pages. Finally, we explain the difference between "solar elevation angle", "zenith angle" and "solar azimuth angle". Solar radiation and Insolation Solar radiation is electromagnetic radiation made by the sun. What exactly that is is complicated. For our purposes, we just need to remember that electromagnetic radiation is a type of energy that can move through empty space. "Solar radiation" is sometimes thought of in terms of "energy" and sometimes in terms of "power". "Power" is "the rate of energy transfer" - how quickly energy is transferring from one thing to another. Insolation measures solar radiation per unit area (the density of the solar radiation - how much of it is falling on or has fallen on a square meter, square foot or etc). As we discuss below, this measurement of solar radiation is sometimes given in terms of "energy" and sometimes in terms of "power". "No! I'm not saying that the sun is particularily strong right now! I'm saying that over the course of the day we've gotten a lot of sun!" Sometimes people use "insolation" to describe the sunlight's power per unit area at a given place in a given instant. When this is the case, "insolation" is measured in watts per square meter (W/m2) and can track moment-to-moment changes in the strength of the sunlight. Other times when people say "insolation" they are talking instead about how much solar energy per unit area a place receives over some period of time. In this second case, "insolation" is measured in kilowatt-hours per square meter (kWh/m2) and is used to discuss how much solar energy a place receives in a day, a month, a year, or etc. Irradiance and Irradiation Since "insolation" is often used to describe either power or energy, people sometimes use more exacting terms when they want to be extra careful. If you want to make sure that people know you are describing the strength (power) of the sunlight on your nose right this moment, say "irradiance". If you want to be certain everyone knows that you are talking about how much total solar energy your nose absorbed yesterday, say "irradiation".1 "Now, look, as I've said, you've nothing to worry about. I will constantly apply a very small amount of force to your head for five or six hours. I grant you that that's a long time, but since the force will always be very small, you'll barely notice it. There won't be a single intense moment. Policy regarding 'Intensity' People often use solar intensity or just "the intensity of the sunlight" or even "the strength of the sunlight" as synonyms for irradiance. We will be adopting that strategy for this website. "Intensity" and "strength" are more common words and they capture the sense of "irradiance" well. If, in a given moment, a very high number of watts of solar radiation are striking a square meter, the sun will feel very intense/strong to someone standing in that square meter. Since irradiation is a measurement of energy accumulated over some period of time, it isn't an instantaneous measurement and so it doesn't have quite the same connotation as "intensity" or "strength" - at least not to me. Solar Angle On this website, we use "solar angle" or "sun angle" when we just want to talk in general about the vertical angle of the sun in the sky (how high it is in the sky). If we want to say exactly how high the sun is in the sky, we will use either "solar elevation angle" (SEA°) or "zenith angle" (ZA°). If we are talking about the horizontal angle of the sun (where along the horizon it is), we use "azimuth angle". The diagrams below should help to illustrate these concepts. Before we introduce the angles, we quickly introduce the concept of "zenith" as not everyone is familiar with it. "Zenith" means "Up" Besides keeping track of "North, South, East and West", we sometimes need to pay attention to the zenith direction - the direction directly overhead of you. To see it you have to crane your head back and look straight up. The zenith is always 90° above the horizon. Precise Sun Angles To communicate how high the sun is in the sky, people often tell you the "solar elevation angle". This is how many degrees above the horizon the center of the sun is. They can communicate the same information with reference to the zenith. The "zenith angle" is how many degrees below the zenith the center of the sun is (how far below "directly overhead" the sun is). The diagram should help make these definitions clear. Note that because the solar elevation angle (SEA) takes the horizon as its reference and the zenith angle (ZA) takes the zenith as its reference point and because the zenith is always 90 degrees above the horizon, SEA° + ZA° = 90.° That means if we know the zenith angle and want to know the solar elevation angle, we can just use this formula: 90° - ZA° = SEA°. The "solar azimuth angle" (Azimuth) measures the horizontal angle of the sun along the horizon (as opposed to the vertical angle of the sun above the horizon which is what "solar elevation angle" measures). The convention is to measure the solar azimuth clockwise starting from due North. So, due North is "0°" or "360°", due East is "90°", due South is "180°" and due West is "270°." This Section: Insolation Definitions Types of Radiation Tilt Angle Sun Angle and Insolation Air Mass Day Length Clouds and Pollution Footnotes 1. The concepts behind the definitions for "irradiance" and "irradiation" come from the website of Volker Quasching, an author of books and articles in the renewable energy field. The page is: fundamentals. ©Copyright 2011. AM Watson & David E. Watson. All rights reserved. Just about everything in the FT Exploring web site is copyrighted. For information concerning use of this material, click on the word Copyright. Applications author's contact page: Applications Contact. Disclaimer: All information given on these pages is given in good faith. While we have tried to be accurate, we do not guarantee the accuracy of the information nor are we liable for any use of the information. If you are undertaking a real-world project, you are responsible for either knowing what you are doing or hiring someone who does. Insolation and Total Solar Irradiance Email Print PDF Cite Total solar irradiance is defined as the amount of radiant energy emitted by the Sun over all wavelengths that fall each second on 11 ft2 (1 m2) outside Earth's atmosphere. Insolation is the amount of solar energy that strikes a given area over a specific time, and varies with latitude or the seasons. By way of further definition, irradiance is defined as the amount of electromagnetic energy incident on a surface per unit time per unit area. Solar refers to electromagnetic radiation in the spectral range of approximately 1 ft (0.3 m), where the shortest wavelengths are in the ultraviolet region of the spectrum, the intermediate wavelengths in the visible region, and the longer wavelengths are in the near infrared. Total solar irradiance means that the solar flux has been integrated over all wavelengths to include the contributions from ultraviolet, visible, and infrared radiation. By convention, the surface features of the Sun are classified into three regions: the photosphere, the chromosphere, and the corona. The photosphere corresponds to the bright region normally visible to the naked eye. About 3,100 mi (5,000 km) above the photosphere lies the chromosphere, from which short-lived, needle-like projections may extend upward for several thousands of kilometers. The corona is the outermost layer of the Sun; this region extends into the region of the planets. Most of the surface features of the Sun lie within the photosphere, though a few extend into the chromosphere or even the corona. The average amount of energy from the Sun per unit area that reaches the upper regions of Earth's atmosphere is known as the solar constant; its value is approximately 1,367 watts per square meter. As Earth-based measurements of this quantity are of doubtful accuracy due to variations in Earth's atmosphere, scientists have come to rely on satellites to make these measurements. Although referred to as the solar constant, this quantity actually has been found to vary since careful measurements started being made in 1978. In 1980, a satellite-based measurement yielded the value of 1,368.2 watts per square meter. Over the next few years, the value was found to decrease by about 0.04% per year. Such variations have now been linked to several physical processes known to occur in the Sun's interior, as will be described below. From Earth, it is only possible to observe the radiant energy emitted by the Sun in the direction of our planet; this quantity is referred to as the solar irradiance. This radiant solar energy is known to influence Earth's weather and climate, although the exact relationships between solar irradiance and long-term climatological changes, such as global warming, are not well understood. The total radiant energy emitted from the Sun in all directions is a quantity known as solar luminosity. The luminosity of the Sun has been estimated to be 3.8478 1026 watts. Some scientists believe that long-term variations in the solar luminosity may be a better correlate to environmental conditions on Earth than solar irradiance, including global warming. Variations in solar luminosity are also of interest to scientists who wish to gain a better understanding of stellar rotation, convection, and magnetism. Because short-term variations of certain regions of the solar spectrum may not accurately reflect changes in the true luminosity of the Sun, measurements of total solar irradiance, which by definition take into account the solar flux contributions over all wavelengths, provide a better representation of the total luminosity of the Sun. Short-term variations in solar irradiation vary significantly with the position of the observer, so such variations may not provide a very accurate picture of changes in the solar luminosity. But the total solar irradiance at any given position gives a better representation because it includes contributions over the spectrum of wavelengths represented in the solar radiation. Variations in the solar irradiance are at a level that can be detected by ground-based astronomical measurements of light. Such variations have been found to be about 0.1% of the average solar irradiance. Starting in 1978, space-based instruments aboard the Nimbus 7 Solar Maximum Mission, and other satellites began making the sort of measurements (reproducible to within a few parts per million each year) that allowed scientists to acquire a better understanding of variations in the total solar irradiance. Variations in solar irradiance have been attributed to the following solar phenomena: Oscillations, granulation, sunspots, faculae, and solar cycle. Oscillations, which cause variations in the solar irradiance lasting about five minutes, arise from the action of resonant waves trapped in the Sun's interior. At any given time, there are tens of millions of frequencies represented by the resonant waves, but only certain oscillations contribute to variations in the solar constant. Granulation, which produces solar irradiance variations lasting about 10 minutes, is closely related to the convective energy flow in the outer part of the Sun's interior. To the observer on Earth, the surface of the Sun appears to be made up of finely divided regions known as granules, each from 311,864 mi (500,000 km) across, separated by dark regions. Each of these granules makes its appearance for about 10 minutes and then disappears. Granulation apparently results from convection effects that appear to cease several hundred kilometers below the visible surface, but in fact extend out into the photosphere, i.e., the region of the Sun visible to the naked eye. These granules are believed to be the centers of rising convection cells. Sunspots give rise to variations that may last for several days, and sometimes as long as 200 days. They actually correspond to regions of intense magnetic activity where the solar atmosphere is slightly cooler than the surroundings. Sunspots Visible light image of the Sun, showing sunspots. U.S. National Aeronautics and Space Administration (NASA). appear as dark regions on the Sun's surface to observers on Earth. They are formed when the magnetic field lines just below the Sun's surface become twisted, and then poke though the solar photosphere. Solar irradiance measurements have also shown that the presence of large groups of sunspots on the Sun's surface produce dips ranging in amplitude from 0.1 to 0.25% of the solar constant. This reduction in the total solar irradiance has been attributed both to the presence of these sunspots and to the temporary storage of solar energy over times longer than the sunspot's lifetime. Another key observation has been that the largest decreases in total solar irradiance frequently coincide with the formation of newly formed active regions associated with large sunspots, or with rapidly evolving, complex sunspots. Sunspots are especially noteworthy for their 11-year activity cycle. Faculae, producing variations that may last for tens of days, are bright regions in the photosphere where high-temperature interior regions of the Sun radiate energy. They tend to congregate in bright regions near sunspots, forming solar active regions. Faculae, which have sizes on the order of 620 mi (1,000 km) or less, appear to be tube-like regions defined by magnetic field lines. These regions are less dense than surrounding areas. Because radiation from hotter layers below the photosphere can leak through the walls of the faculae, an atmosphere is produced that appears hotter, and brighter, than others. The solar cycle is responsible for variations in the solar irradiance that have a period of about 11 years. This 11-year activity cycle of sunspot frequency is actually half of a 22year magnetic cycle, which arises from the reversal of the poles of the Sun's magnetic field. From one activity cycle to the next, the north magnetic pole becomes the south magnetic pole, and vice versa. Solar luminosity has been found to achieve a maximum value at the very time that sunspot activity is highest during the 11-year sunspot cycle. Scientists have confirmed the length of the solar cycle by examining tree rings for variations in deuterium-to-hydrogen ratios. This ratio is temperature-dependent because deuterium molecules, which are a heavy form of the hydrogen molecule, are less mobile than the lighter hydrogen molecules, and therefore less responsive to thermal motion induced by increases in the solar irradiance. Surprisingly, the Sun's rotation, with a rotational period of about 27 days, does not give rise to significant variations in the total solar irradiance. This is because its effects are over-ridden by the contributions of sunspots and faculae. Scientists have speculated that long-term solar irradiance variations might contribute to global warming over decades or hundreds of years. More recently, there has been speculation that changes in total solar irradiation have amplified the greenhouse effect, i.e., the retention of solar radiation and gradual warming of Earth's atmosphere. Some of these changes, particularly small shifts in the length of the activity cycle, seem to correlate rather closely with climatic conditions in pre- and post industrial times. Whether variations in solar irradiance can account for a substantial fraction of global warming over the past 150 years, however, remains a highly controversial point of discussion. See also Electromagnetic spectrum; Greenhouse gases and greenhouse effect; Solar energy; Solar illumination: Seasonal and diurnal patterns Source: World of Earth Science, ©2003 Gale Cengage. All Rights Reserved. Full copyright