Hertz

The source of radiation is a linear accelerator with selectable primary energies of 6, 9 or 11 MeV ( VARIAN Linatron 3000 A). The output of the LINAC at 9 MV is 3000 rad ( 30 Gy) per minute. The pulse length is 3.8 microseconds with repetition frequencies between 50 and 250 Hertz. 

Modelling of the tme contact area between surfaces requires consideration of the defonnation that occurs at the peaks of asperities as they come into contact with mating surfaces. Purely elastic contact between two solids was first described by H Hertz [7], The Hertzian contact area (A ) between a sphere of radius r and a flat surface compressed under nonnal force N is given by... 

The modem unit, expressing frequency in cycles per second, is the hertz (Hz). 

To get the frequency v in centimeters-, the nonstandard notation favored by spectioscopists, one divides the frequency in hertz by the speed of light in a vacuum, c = 2.998 x lO " cm s-, to obtain a reciprocal wavelength, in this case, 4120 cm-. This relationship arises because the speed of any running wave is its frequency times its wavelength, c = vX in the case of electromagnetic radiation. The Raman spectral line for the fundamental vibration of H2 is 4162 cm-. .., not a bad comparison for a simple model. 

The hydrogen atom attached to an alkane molecule vibrates along the bond axis at a frequency of about 3000 cm. What wavelength of electromagnetic radiation is resonant with this vibration What is the frequency in hertz What is the force constant of the C II bond if the alkane is taken to be a stationary mass because of its size and the H atom is assumed to execute simple harmonic motion ... 

Three 10,0-g masses are connected by springs to fixed points as harmonic oscillators showui in Fig, 3-12, The Hooke s law force constants of the springs ai e 2k. k, and k as showui, where k = 2.00 N m, What are the pei iods and frequencies of oscillation in hertz and radians per second in each of the three cases a, b, and e ... 

Data given in the order shift, shape (s. sineulet d. doublet q. quadruplet m. muitiplet). Coupling constants in hertz. 

The SI units of frequency are reciprocal seconds (s ) given the name hertz and the symbol Hz m honor of the nineteenth century physicist Heinrich R Hertz The constant of proportionality h is called Planck s constant and has the value... 

Frequency (Section 13 1) Number of waves per unit time Although often expressed in hertz (Hz) or cycles per sec ond the SI unit for frequency is s ... 

Luminous intensity candela cd Luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 540 X 10 hertz and that has a radiant intensity in that direction of 1/683 watt per steradian. 

The smallest unit (packet) of electromagnetic energy (a photon) is related to frequency by the formula, E = hv, in which E is the energy and h is Planck s constant. Alternatively, the relation can be written, E = hc/A,. Frequency (v) is a number with units of cycles per second (cps, the number of times a wavefront passes a given point in unit time, sec ) and is given the name Hertz (Hz), Planck s constant is a fundamental number, measured in J sec or erg-sec. 

The time-temperature superpositioning principle was applied f to the maximum in dielectric loss factors measured on poly(vinyl acetate). Data collected at different temperatures were shifted to match at Tg = 28 C. The shift factors for the frequency (in hertz) at the maximum were found to obey the WLF equation in the following form log co + 6.9 = [ 19.6(T -28)]/[42 (T - 28)]. Estimate the fractional free volume at Tg and a. for the free volume from these data. Recalling from Chap. 3 that the loss factor for the mechanical properties occurs at cor = 1, estimate the relaxation time for poly(vinyl acetate) at 40 and 28.5 C. 

Another phenomenon that was inexplicable in classical terms was the photoelectric effect discovered by Hertz in f 887. When ultraviolet light falls on an alkali metal surface, electrons are ejected from the surface only when the frequency of the radiation reaches the threshold... 

Rearrange Equation (5.20) into the form y = mx + c so that m involves D only. Plot y against x using the data in Table 5.1 to obtain B and D, in hertz, for carbon monoxide (use a computer or calculator that will work to nine-figure accuracy). 

Since c has dimensions of LT and 1 those of L, frequency has dimensions of and often has units of s (or hertz). On the other hand, wavenumber has dimensions of L and often has units of cm. Therefore... 

Effect of Vibration. Tfll objects have a natural frequency of vibration when stmck sharply and fan rings, blades, stmcture, etc are no exception. Vibration is usually siausoidal and its frequency measured ia Hertz. The travel or displacemeat of the vibratioa is measured ia mils (1 /1000 of an iach) ia the United States but ia micrometers elsewhere. Another measuremeat is velocity (mm/ s) of movement. 

Precisely controllable rf pulse generation is another essential component of the spectrometer. A short, high power radio frequency pulse, referred to as the B field, is used to simultaneously excite all nuclei at the T,arm or frequencies. The B field should ideally be uniform throughout the sample region and be on the order of 10 ]ls or less for the 90° pulse. The width, in Hertz, of the irradiated spectral window is equal to the reciprocal of the 360° pulse duration. This can be used to determine the limitations of the sweep width (SW) irradiated. For example, with a 90° hard pulse of 5 ]ls, one can observe a 50-kHz window a soft pulse of 50 ms irradiates a 5-Hz window. The primary requirements for rf transmitters are high power, fast switching, sharp pulses, variable power output, and accurate control of the phase. 

---