Collisional excitation of interstellar cyclopropenylidene

Theoretical rotational excitation rates were computed for C3H2 in collisions with He atoms at temperatures from 30 to 120 K. The intermolecular forces were obtained from accurate self-consistent field and perturbation theory calculations, and collision dynamics were treated within the infinite-order sudden approximation. The accuracy of the latter was examined by comparing with the more exact coupled states approximation.     

Stable planetary orbits around one component in nearby binary stars

Numerical simulations are made within the frame of the elliptic planar restricted three-body problem, in order to search if stable orbits exist for planets around one of the two components in double stars. The values taken for the binary's mass ratio and eccentricity correspond to real nearby double and multiple systems; the Centauri and Sirius systems are investigated here. Large stable planetary orbits, already known to exist through a systematic exploration of the circular model and for the Sun-Jupiter elliptic case, are found to exist around Centauri A and Centauri B, as well as around Sirius A, up to distances from each star of the order of more than half the binary's periastron separation. Similar studies for other nearby well-known double and multiple systems will follow.     

Reviews

OFFICE DEVELOPMENT: A Geographical Analysis by M. Bateman. 14 × 22 cm, xvi and 175 pages. Croom Helm: London 1985 (ISBN 0 7099 0697 8) $A35.95 (cloth).

ATLAS OF YOUTH UNEMPLOYMENT, 1981: The Geographic Distribution of Youth Unemployment in Australian Cities from the 1981 Census According to Birthplace and Gender by P. Matwijiw with E. Bamford and C. Maher. 21 × 29 cm, 127 pages. Australian Institute of Multicultural Affairs: Melbourne 1985 (ISBN 949890 33 2) $A12.00 (limp).

ENVIRONMENT AND HEALTH by A. J. Rowland and P. Cooper. 23 × 16 cm, vi and 205 pages. Edward Arnold: London 1983 (ISBN 0 7131 2855 0) $A27.95 (limp).

FAMINE AS A GEOGRAPHICAL PHENOMENON edited by B. Currey and G. Hugo. 17 × 24 cm, vi and 202 pages. Reidel: Dordrecht 1984 (ISBN 90 277 1762 1) Dfl 95.00, $US37.00 (cloth).

SOUTH AUSTRALIA'S CHANGING POPULATION (South Australian Geographical Papers No. 1) by G. J. Hugo. 25 × 18 cm, 71 pages. Royal Geographical Society of Australasia (SA Branch): Adelaide 1983 (ISBN 0 909112 05 03) $A4.00 (limp).

DEVELOPMENTS IN POLITICAL GEOGRAPHY edited by M. A. Busteed. 23 × 15 cm, 340 pages. Academic Press: London 1983 (ISBN 0 12 148420 3) $US42.00 (cloth).

NEITHER JUSTICE NOR REASON: A Legal and Anthropological Analysis of Aboriginal Land Rights by M. Gumbert. 22 × 14 cm, xv and 215 pages. University of Queensland Press: St Lucia 1984 (ISBN 0 7022 1746 8) $A20.00 (cloth).

RURAL RESOURCE MANAGEMENT by P. J. Cloke and C. C. Park. 14 × 22 cm, xiii and 473 pages. Croom Helm: London 1985 (ISBN 0 7099 2037 7) $A44.95 (cloth).

FARM POLICY IN AUSTRALIA by R. K. Hefford. 14 × 22 cm, xviii and 415 pages. University of Queensland Press: St Lucia 1985 (ISBN 0 7022 1698 4) $A40.00 (cloth).

TRANSPORT AND COMMUNICATIONS FOR PACIFIC MICROSTATES: Issues in Organisation and Management edited by C. C. Kissling. 14 × 21 cm, 192 pages. Institute of Pacific Studies, University of the South Pacific: Suva 1984. $A10.00 (cloth), $A8.00 (limp).

TIMES OF CRISIS: Epidemics in Sydney 1788–1900 by P. H. Curson. 15 × 25 cm, xii and 195 pages. Sydney University Press: Sydney 1985 (ISBN 0 424 00112 8). $A35.00 (cloth).

PEASANTS, SUBSISTENCE, ECOLOGY AND DEVELOPMENT IN THE HIGHLANDS OF PAPUA NEW GUINEA by L. S. Grossman. 24 × 16 cm, xxi and 302 pages. Princeton University Press: Princeton, NJ 1984 (ISBN 0 691 09406 3) $US45.50.

THE WORLD FOOD PROBLEM 1950–1980 by D. Grigg. 15 × 24 cm, 276 pages. Basil Blackwell: Oxford 1985 (ISBN 0 631 13481 6) $A58.50 (cloth).

POPULATION REDISTRIBUTION AND DEVELOPMENT IN SOUTH ASIA edited by L. A. Kosinski and K. M. Elahi. 17 × 24 cm, 243 pages. Reichel: Dordrecht 1985 (ISBN 90 277 1938 1) Dfl 120.00, $US44.00, £30.50 (cloth).

GEOGRAPHY AND ETHNIC PLURALISM edited by C. Clarke, D. Ley and C. Peach. 15 × 23 cm, xvii and 294 pages. Allen & Unwin: London 1984 (ISBN 0 04 309107 5) $A45.00 (cloth); (ISBN 0 04 309108 3) $A24.95 (limp).

SOCIAL GEOGRAPHY IN INTERNATIONAL PERSPECTIVE edited by J. Eyles. 14 × 22 cm, 295 pages. Croom Helm: London 1986 (ISBN 0 7099 0944 6) $A49.95 (cloth).

THE GENTRIFICATION OF INNER MELBOURNE: A Political Geography of Inner City Housing by W. S. Logan. 14 × 22 cm, xvi and 328 pages. University of Queensland Press: St. Lucia 1985 (ISBN 0 7022 1729 8) $A50.00 (cloth).

YELLOWCAKE AND CROCODILES: Town Planning, Government and Society in Northern Australia by J. Lea and R. Zehner. 14 × 22 cm, xxvi and 200 pages. Allen & Unwin: Sydney 1986 (ISBN 0 86861 875 6) $A24.95 (cloth); (ISBN 0 86861 843 8) $A 14.95 (limp).

THE BUNGALOW: The Production of a Global Culture by A. D. King. 20 × 25 cm, xii and 310 pages. Routledge & Kegan Paul: London 1984 (ISBN 0 7100 9538 4) $A62.50 (cloth).

THE WEST EUROPEAN CITY: A Social Geography by P. White. 15 × 23 cm, xviii and 269 pages. Longman: London 1984 (ISBN 0 582 30047 9) $A22.95 (limp).

THE SHAPING OF AMERICA: A Geographical Perspective on 500 years of History. Volume 1. Atlantic America, 1492–1800 by D. W. Meinig. 18 × 25 cm, xii and 500 pages. Yale University Press: New Haven 1986 (ISBN 0 300 03548 9) $US35.00 (cloth).

CANBERRA: MYTHS AND MODELS. Forces at Work in the Formation of the Australian Capital by K. F. Fischer. 21 × 30 cm, 166 pages. Institute of Asian Studies: Hamburg 1984 (ISBN 3 88910 009 0).

THE GEOGRAPHY OF PEACE AND WAR edited by D. Pepper and A. Jenkins. 15 × 23 cm, vi and 222 pages. Basil Blackwell: Oxford 1985 (ISBN 0 631 13559 6) $A75.00 (cloth); (ISBN 0 631 14069 7) $A23.95 (limp).

POLITICAL GEOGRAPHY: World‐economy, Nation‐state and Locality by P. J. Taylor. 15 × 23 cm, × and 238 pages. Longman: London 1985 (ISBN 0 582 30088 6) $A24.95 (limp).

THE INDUSTRIAL GEOGRAPHY OF CANADA by A. Blackbourn and R. G. Putnam 14 × 22 cm, 201 pages. Croom Helm: London 1984 (ISBN 0 7099 0622 6) $A42.50 (cloth).

THE FOODMAKERS by S. Sargent. 13 × 20 cm, 296 pages. Penguin: Ringwood 1985 (ISBN 0 14 007359 0) $A8.95 (limp).

LIMITS TO PREDICTION edited by R. B. McKern and G. C. Lowenthal. 13 × 19 cm, xiii and 163 pages. Australian Professional Publications: Sydney 1985 (ISBN 0 949416 029) $A14.95 (limp).

THE KANGAROO KEEPERS edited by H. J. Lavery. 18 × 25 cm, xxvi and 211 pages. University of Queensland Press: St Lucia 1985 (ISBN 0 7022 1875 8).

PRACTICAL ECOLOGY by D. D. Gilbertson, M. Kent and F. B. Pyatt. 15 × 23 cm, 320 pages, Hutchinson: London 1985 (ISBN 0 09 162651 X) £8.95.

BASIC BIOGEOGRAPHY (Second edition) by N. Pears. 15 × 24 cm, × and 358 pages. Longman: London 1985 (ISBN 0 582 30120 3) $A24.95 (limp).

ENVIRONMENTAL CHANGE (Second edition) by A. Goudie. 23 × 15 cm, xi and 258 pages. Oxford University Press: Oxford 1983 (ISBN 0 19 874135 9) A16.00 (limp).

MEGA‐GEOMORPHOLOGY edited by R. Gardner and H. Scoging. 16 × 24 cm, xiii and 240 pages. Oxford University Press: Oxford (ISBN 0 19 823244 6) $A48.00.

GRANITE LANDFORMS by C. R. Twidale. 25 × 17 cm, xxiii and 372 pages. Elsevier: Amsterdam 1982 (ISBN 0 444 42116 5) $A148.25.     

Education as a determinant of fertility: a case study of Kullu Town

Using a sample of 885 females (1/2 of all married women of reproductive age), this study examines the role of education as a determinant of fertility among couples in Kullu town of Himachol Pradesh, India. Of the 885 respondents, only 149 were illiterate. The average family size was 2.88. Findings reveal that 1) the average family size was largest for illiterate respondents (3.57) and for illiterate males (3.76); 2) average family size declined consistently after the middle level of education to 1.29 for post graduate respondents and 2.33 for post graduate males; 3) a negative correlation exists between fertility and education of both husband and wife, with the wife's education having a stronger negative correlation with fertility; and 4) couples with an educational level of matriculation and above have a distinctly smaller family size than those less educated.     

The nature and significance of the feedback of changes in terrestrial vegetation on global atmospheric and climatic change

The potential feedback on global atmospheric and climate change of climate-driven changes in terrestrial vegetation is examined by systematically relating the surface exchanges of energy, mass and momentum to two dimensions of vegetation, structure and taxonomy, such that the significance of climate driven changes in these characteristics can be assessed. A detailed quantitative understanding of this feedback is an important prerequisite to realistic and dynamic representations of the Earth's surface within general circulation and biological models (GCMs and GBMs). Without realistic representations of terrestrial vegetation within these models, any forecasts of future climates by these models must be suspect.Several general conclusions are drawn. The first is that the indirect feedbacks, those associated with the clouds and aerosols of the planetary boundary layer, appear to be very powerful but as yet their behaviour and connections with the underlying surface are both poorly understood and captured within GCMs.The physical structure of vegetation, the disposition of biomass in 3-D, is the characteristic that most strongly influences the exchange of momentum (via aerodynamic roughness) and solar radiation (via albedo). Vegetation structure and species composition determine the most important of the mass exchanges, evapotranspiration. Of all of the surface exchanges, the parameterization of evapotranspiration (E ) and the simulation of the water balance over time is the most critical.Lastly, the problems of scaling and spatial heterogeneity, the sub-grid variability of the modellers, looms as a difficult, but not insoluble, problem. It remains a critical problem however, and the detailed parameterization of the various big leaf models stands in absurd contrast to the simplistic generalization of the spatial heterogeneity of terrestrial landscapes.Plant ecologists can contribute to the task of improving the representation of vegetated landscapes within GCMs. There is need to simply and unify the way in which vegetation can be grouped at landscape scales. A classification that is based on function rather than phylogeny is required. The definition of Vegetation Functional Types (VFTs) would expedite research on both the impact of, and feedback on, climate change.     

Diffuse radiation,twilight, and photochemistry — I

A photochemical scheme which includes a detailed treatment of multiple scattering up to solar zenith angles of 96° (developed for use in a GCM) has been used to study partitioning within chemical families. Attention is drawn to the different zenith angle dependence of diffuse radiation for the two spectral regions <310 nm and >310 nm. The effect that this has on the so-called 40 km ozone problem is discussed. The importance of correctly including multiple scattering for polar ozone studies is emphasised.     

High pressure experimental calibration of the olivine-orthopyroxene-spinel oxygen geobarometer: implications for the oxidation state of the upper mantle

Synthetic spinel harzburgite and lherzolite assemblages were equilibrated between 1040 and 1300° C and 0.3 to 2.7 GPa, under controlled oxygen fugacity (f _{O 2}). f _{O 2} was buffered with conventional and open double-capsule techniques, using the Fe−FeO, WC-WO₂-C, Ni−NiO, and Fe₃O₄−Fe₂O₃ buffers, and graphite, olivine, and PdAg alloys as sample containers. Experiments were carried out in a piston-cylinder apparatus under fluid-excess conditions. Within the P-T-X range of the experiments, the redox ratio Fe³⁺/ΣFe in spinel is a linear function of f _{O 2} (0.02 at IW, 0.1 at WCO, 0.25 at NNO, and 0.75 at MH). It is independent of temperature at given Δlog(f _{O 2}), but decreases slightly with increasing Cr content in spinel. The Fe³⁺/ΣFe ratio falls with increasing pressure at given Δlog(f _{O 2}), consistent with a pressure correction based on partial molar volume data. At a specific temperature, degree of melting and bulk composition, the Cr/(Cr+Al) ratio of a spinel rises with increasing f _{O 2}. A linear least-squares fit to the experimental data gives the semi-empirical oxygen barometer in terms of divergence from the fayalite-magnetite-quartz (FMQ) buffer:

An internal variable model for the creep of rocksalt

Summary The creep strain rate of rocksalt, like that of other ductile crystalline materials, can be described by a power law equation of the type ( ) ⁿ , where the active stress is the difference between the total deviatoric applied stress and an internal stress _i . In this paper, the origin and the nature of this internal stress, which develops during inelastic deformation of the material, are discussed. It is shown that this internal stress can serve as an internal (or state) variable in the constitutive model of rocksalt, which reflects the microstructure evolution of the material under the competitive action of hardening and recovery mechanisms.An analysis of experimental data, both our own and those taken from the literature, demonstrates that such a law is able to correctly reproduce rocksalt creep test results in the steady-state domain. The proposed model is in accordance with the macroscopic and microscopic behavior of salt, and with direct measurements of the internal stresses made by others on this material.     

Hawaiian basalt and Icelandic rhyolite: Indicators of differentiation and partial melting

In spite of the voluminous basaltic volcanism on the island of Hawaii, rhyolite is not produced. Iceland, on the other hand, exhibits common rhyolitic volcanism amounting to some 10–12% of its surface rocks. This contrast is investigated using the fundamental igneous processes exhibited by sheet-like Hawaiian lava lakes and Shonkin Sag laccolith in Montana. Highly differentiated, residual melts normally reside within inwardly advancing solidification fronts and are generally inaccessible to eruptive processes. Only when a large initial phenocryst population is present, from which a thick basal cumulate can rapidly form, is it possible to supply highly differentiated melt into the active (i.e., eruptable) portion of the magma chamber. Although there is protracted control of differentiation at Hawaii by settling of olivine, further differentiation occurs within the solidification fronts. Only by repeated transport and holding is it possible to differentiate beyond the critical composition of the leading edge of the solidification front ( 7% MgO and 51.5% SiO₂). Crystal size distributions (CSDs) for Hawaii and Shonkin Sag are used to demonstrate the inferred physical and chemical processes of solidification, including the kinetics of crystallization.A ubiquitous feature of these basaltic bodies is the formation of coarse veins and segregations of refined melt and granophyres within the upper solidification front. It is this fundamental bimodal feature which is the key to understanding Icelandic silicic volcanism.Rhyolites in Iceland occur mainly as a bimodal population with basalts associated with central volcanoes. Rhyolites, granophyres, and felsites are common, with the intrusions often being layered. Ash flows and true granite-like intrusions are rare. The voluminous silicic lavas at Torfajokull central volcano contain disequilibrium phenocryst assemblages. This, and the disagreement in oxygen isotopic values between rhyolites and basalts, reflects extensive partial melting of the heterogeneous basaltic crust of Iceland to produce these rhyolites. Relatively small, chemically distinct, and spatially intimate silicic bodies are formed by concentrating granophyric segregations from earlier cycles of solidification. This process is also reflected in the layered granophyric instrusion of Slaufrudalur in eastern Iceland. Slaufrudalur is an unvented subterranean caldera, equivalent in igneous processes and style to the subaerial Torfajokull caldera.Hawaii is dominated by fractional crystallization due to crystal settling and does not produce rhyolite. Iceland's tectonics allow continual and extensive reprocessing of thin, hot basaltic crust which produces rhyolite by concentrating original silicic segregations and veins and by partially melting intermediate extrusives, which have subsided deep into the crust.

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Zusammenfassung Auf Hawaii treten, trotz intensiven Basalt-Vulkanismusses, keine Rhyolithe auf. Auf Island dagegen ist Rhyolith, mit 10–12% des anstehenden Gesteins, verbreitet. Dieser Kontrast wurde anhand grundlegender magmatischer Prozesse untersucht, wie sie in flachen Lava-Seen Hawaiis und im Shonkin Sag Laccolith Montanas auftreten. Hochdifferenzierte Restschmelzen verbleiben innerhalb langsam nach innen vorrückender Erstarrungsfronten und sind meist unerreichbar für eruptive Prozesse. Nur wenn anfänglich bereits große Mengen von Einsprenglingen vorhanden sind, die rasch am Boden der Magmenkammer akkumulieren, kann eine hochdifferenzierte Schmelze in den aktiven (d.h. eruptiven) Teil der Magmenkammer gelangen. Obwohl auf Hawaii die Differentiation durch die Kristallisation von Olivin anhaltend kontrolliert wird, findet an der Erstarrungsfront weitere Differentiation statt. Nur durch wiederholten Transport und zeitweiliges Verharren ist es möglich, über die kritische Zusammensetzung der vordersten Erstarrungsfront hinaus zu differenzieren (ca. 7% MgO und 51,5% SiO₂). An Kristallgrö-ßenverteilungen (CDS) von Hawaii und Shonkin Sag können die angenommenen physikalischen und chemischen Prozesse der Kristallisation und die Kristallisationskinetik gezeigt werden. Ein weit verbreitetes Merkmal dieser Basaltkörper ist die Bildung grobkristalliner Gänge und Absonderung von stark differenzierten Schmelzen und Granophyren innerhalb der oberen Erstarrungsfront. Diese ausgeprägt bimodale Charakteristik ist der Schlüssel zum Verständnis des sauren isländischen Vulkanismus.Isländische Rhyolithe treten meist in bimodaler Verbreitung mit Basalten in Zusammenhang mit zentralen Vulkanen auf. Rhyolithe, Granophyre und Feisite sind häufig, in oft geschichteten Intrusionen. Ignimbrite und echte Granitintrusionen sind selten. Die großen Mengen SiO₂-reicher Laven am Torfajokull-Zentralvulkan enthalten Ein-sprenglinge, die sich nicht im Gleichgewicht mit der Matrix befinden. Dies, und die unterschiedlichen delta-¹⁸O-Werte von Rhyolithen und Basalten, zeigen, daß ausgeprägtes teilweises Aufschmelzen der heterogenen Basaltkruste von Island zur Produktion dieser Rhyolithe führte. Relativ kleine, nahe benachbarte saure Körper, die aber deutliche Unterschiede in ihrem Chemismus aufweisen, werden gebildet durch die Konzentration granophyrischer Teilschmelzen aus früheren Kristallisationszyklen. Dieser Vorgang wird auch widergespiegelt in der »layered intrusions« von Slaufrudalur in Ostisland. Slaufrudalur ist eine geschlossene unterirdische Kaldera, deren magmatische Prozesse und Baustil der subaerischen Torfajokull-Kaldera entsprechen.Die Prozesse in Hawaii sind dominiert von gravitativer Kristallisationsdifferentiation und es werden keine Rhyolithe produziert. Die isländische Tektonik führt zu kontinuierlicher starker Wiederaufarbeitung von dünner, heißer basaltischer Kruste. Dabei wird, durch die Konzentration ursprünglicher saurer Teilschmelzen und Gänge und durch die teilweise Aufschmelzung intermediärer Intrusiva, die tief in die Kruste abgesunken sind, Rhyolith produziert.

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Résumé En dépit du volcanisme basaltique volumineux des îles Hawaï, il n'y existe pas de rhyolite. En Islande, par contre, le volcanisme rhyolitique est commun et représente 10 à 12% des roches de la surface. Ce contraste est examiné sur la base des processus ignés fondamentaux présentés par les lacs de lave d'Hawaï et le laccolite de Shonkin Sag au Montana. Normalement, les liquides résiduels hautement différenciés résident à l'intérieur des fronts de solidification qui progressent vers l'arrière et sont généralement à l'abri des processus éruptifs. Ce n'est que dans le cas d'une population initiale abondante de phénocristaux, qui se rassemblent dans un cumulat basai épais, que des liquides hautement différenciés peuvent être fournis à la portion active (c'est-à-dire »éruptible«) de la chambre magmatique. A Hawaï, bien que la différenciation soit continuellement régie par la cristallisation d'olivine, la poursuite du processus a lieu à l'intérieur des fronts de solidification. Ce n'est que par la répétition d'actions de transport et de stagnation qu'il est possible de différencier audelà de la composition critique du front de solidification (±7% MgO et 51,5% SiO₂). A partir de la distribution de la taille des cristaux à Hawaï et à Shonkin Sag, on peut déduire les processus physique et chimique de la solidification, y compris la cinétique de la cristallisation.Une particularité courante de ces corps basaltiques est la formation de veines grenues et de ségrégations de liquides très différenciés et de granophyres à l'intérieur du front supérieur de solidification. Cette manifestation bimodale est la clé qui permet de comprendre le volcanisme siliceux islandais.En Islande, les rhyolites constituent d'ordinaire une population bimodale avec les basaltes centraux. Les rhyolites, les granophyres et les felsites sont fréquents, et souvent sous forme d'intrusions litées. Les coulées ardentes et les vraies intrusions de type granitique sont rares. Les volumineuses laves siliceuses du volcan central de Torfajokull contiennent des assemblages de phénocristaux en déséquilibre. Ce fait, ainsi que la non concordance des isotopes de l'oxygène entre rhyolites et basaltes, traduisent, à l'origine de ces rhyolites, une fusion partielle extensive de la croûte basaltique hétérogène d'Islande. Des corps siliceux relativement petits et chimiquement distincts bien que d'emplacements très voisins se sont formés par concentration de fusions partielles granophyriques lors des premiers cycles de solidification. Ce processus s'exprime également dans l'intrusion granophyrique litée de Slaufrudalur, en Islande orientale. Slaufrudalur est une caldeira souterraine fermée, équivalente par son style et son processus igné à la caldeira subaérienne de Torfajokull.A Hawaï, le phénomène dominant est la cristallisation fractionnée gravitative, sans production de rhyolite. La tectonique de l'Islande permet la régénération continue et extensive d'une mince croûte basaltique chaude. Les rhyolites y sont engendrées par la concentration des veines et ségrégations siliceuses originelles et par la fusion partielle de masses extrusives intermédiaires descendues profondément dans la croûte.

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, . , 10–12% . , Shonkin Sag Laccolith Montanas. . , , . , . . ( 7% MgO 51,5% SiO₂). (CDS) Shonkin Sag , , . . . . , , . . , Torfajokull , ., ¹⁸O , . , , , , « » («layered intrusions») Slaufrudalur, . , , Torfajokull. . . , , , .

     

Implications of liouville's theorem on the apparent brightness temperatures of solar radio bursts

Liouville's theorem for radiation, of which the generalized étendue is a consequence, implies ² d² d² A = constant along the ray path, where is the refractive index and d² and d² A are the ranges, respectively, of solid angle and of area that define a ray (actually a bundle of rays). Implications of this concept on the propagation of radio waves from the actual to the apparent source in the solar corona (i.e., the scatter image of the true source) are discussed. The implications for sources of fundamental plasma radiation include: (1)The observed solid angle (defining the directivity) and apparent area A of the source are compatible with Liouville's theorem only if the apparent source (the scatter image of the true source) corresponds to the envelope of subsources with a small filling factor f. (2) The brightness temperature T _Bof the actual source is greater than that of the apparent source by f ^-1. (3) For sources of fundamental plasma radiation the factor f is very small ( 10^-2). (4) A long-standing discrepancy between the observed low value of T _B at meter/decameter wavelengths for the quiet Sun and the known coronal temperature may be resolved by noting that the implied coronal temperature is given by T _B f and that the factor f must be significantly less than unity.A brief discussion is included of the relation between Liouville's theorem, the generalized étendue, Milne's laws, occupation numbers, extension in phase, and suppression of emission by a medium with refractive index unequal to unity.