anharmonicadj.

/ˌænhɑːˈmɒnɪk/

Etymology: < French anharmonique, < Greek ἀν- not + ἁρμονικ-ός harmonic adj. and n.

Math.

Not harmonic. Applied to the section of a line by four points A, B, C, D, when their mutual distances are such that ^AB/ _CB is unequal to ^AD/ _CD; the ratio between these two quotients is called the anharmonic ratio of AC.

ΘΚΠ

the world > relative properties > number > geometry > line > [adjective] > other

finite1570

adscribed1625

comprehending?1677

vertical1704

anharmonic1848

bilinear1851

collinear1863

nodal1863

congruent1864

non-concurrent1888

1848 G. Salmon Treat. Conic Sections iv. 46 This is the anharmonic ratio of the pencil.

1865 C. Price Tril. Coordinates 45 For a system of four points (or lines) there are but six different Anharmonic ratios.

1881 Athenæum 13 Aug. 205/1 Anharmonic section.

Draft additions 1997

anharmoˈnicity n. Physics the state or quality of being anharmonic; the extent to which an oscillating physical system deviates from simple harmonic motion.

ΘΚΠ

the world > matter > physics > mechanics > types of motion > [noun] > vibration or oscillation > harmonic motion > quality of being anharmonic

anharmonicity1936

1936 Ann. Rep. Progr. Chem. 33 53 The values of the fundamental frequencies of the molecules have only been given to within 10cm.⁻¹, since corrections have not been made for anharmonicity.

1940 S. Glasstone Text-bk. Physical Chem. viii. 558 For most purposes the anharmonicity of the oscillations may be neglected.

1974 Gill & Willis Pericyclic Reactions vi. 208 Substituents which introduce low-lying excited singlet states can dramatically enhance the rates of such reactions by increasing the anharmonicities of the potential energy curves.

1988 Nature 29 Sept. 397/1 The peculiar value of a̱_H has been ascribed to other causes—anharmonicity and ‘zero-point’ shifts of energy bands.

This entry has not yet been fully updated (first published 1884; most recently modified version published online June 2011).

单词	anharmonic
释义	anharmonicadj. /ˌænhɑːˈmɒnɪk/ Etymology: < French anharmonique, < Greek ἀν- not + ἁρμονικ-ός harmonic adj. and n. Math. Not harmonic. Applied to the section of a line by four points A, B, C, D, when their mutual distances are such that ^AB/ _CB is unequal to ^AD/ _CD; the ratio between these two quotients is called the anharmonic ratio of AC. ΘΚΠ the world > relative properties > number > geometry > line > [adjective] > other finite1570 adscribed1625 comprehending?1677 vertical1704 anharmonic1848 bilinear1851 collinear1863 nodal1863 congruent1864 non-concurrent1888 1848 G. Salmon Treat. Conic Sections iv. 46 This is the anharmonic ratio of the pencil. 1865 C. Price Tril. Coordinates 45 For a system of four points (or lines) there are but six different Anharmonic ratios. 1881 Athenæum 13 Aug. 205/1 Anharmonic section. Draft additions 1997 anharmoˈnicity n. Physics the state or quality of being anharmonic; the extent to which an oscillating physical system deviates from simple harmonic motion. ΘΚΠ the world > matter > physics > mechanics > types of motion > [noun] > vibration or oscillation > harmonic motion > quality of being anharmonic anharmonicity1936 1936 Ann. Rep. Progr. Chem. 33 53 The values of the fundamental frequencies of the molecules have only been given to within 10cm.⁻¹, since corrections have not been made for anharmonicity. 1940 S. Glasstone Text-bk. Physical Chem. viii. 558 For most purposes the anharmonicity of the oscillations may be neglected. 1974 Gill & Willis Pericyclic Reactions vi. 208 Substituents which introduce low-lying excited singlet states can dramatically enhance the rates of such reactions by increasing the anharmonicities of the potential energy curves. 1988 Nature 29 Sept. 397/1 The peculiar value of a̱_H has been ascribed to other causes—anharmonicity and ‘zero-point’ shifts of energy bands. This entry has not yet been fully updated (first published 1884; most recently modified version published online June 2011). < adj.1848
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