An alternating radio-frequency current in the induction coils creates a fluctuating magnetic field that induces the argon ions and the electrons to move in a circular path. Plasma formation is initiated by a spark from a Tesla coil. The sample is mixed with a stream of Ar using a nebulizer, and is carried to the plasma through the torch’s central capillary tube. The ICP torch consists of three concentric quartz tubes, surrounded at the top by a radio-frequency induction coil. Because plasmas operate at much higher temperatures than flames, they provide better atomization and a higher population of excited states.Ī schematic diagram of the inductively coupled plasma source (ICP) is shown in Figure 10.58. A plasma’s high temperature results from resistive heating as the electrons and argon ions move through the gas. The plasmas used in atomic emission are formed by ionizing a flowing stream of argon gas, producing argon ions and electrons. We also expect emission intensity to increase with temperature.Ī plasma is a hot, partially ionized gas that contains an abundant concentration of cations and electrons. From equation 10.31 we expect that excited states with lower energies have larger populations and more intense emission lines. Where g i and g 0 are statistical factors that account for the number of equivalent energy levels for the excited state and the ground state, E i is the energy of the excited state relative to a ground state energy, E 0, of 0, k is Boltzmann’s constant (1.3807 × 10 –23 J/K), and T is the temperature in kelvin. Global positioning system (GPS) signals must be accurate to within a billionth of a second per day, which is equivalent to gaining or losing no more than one second in 1,400,000 years.\] Telecommunications systems, such as cell phones, depend on timing signals that are accurate to within a millionth of a second per day, as are the devices that control the US power grid. In contemporary applications, electron transitions are used in timekeeping that needs to be exact. The Paschen, Brackett, and Pfund series of lines are due to transitions from higher-energy orbits to orbits with n = 3, 4, and 5, respectively these transitions release substantially less energy, corresponding to infrared radiation. These transitions are shown schematically in Figure 2.3.4įigure 2.3.4 Electron Transitions Responsible for the Various Series of Lines Observed in the Emission Spectrum of Hydrogen The Lyman series of lines is due to transitions from higher-energy orbits to the lowest-energy orbit ( n = 1) these transitions release a great deal of energy, corresponding to radiation in the ultraviolet portion of the electromagnetic spectrum. Other families of lines are produced by transitions from excited states with n > 1 to the orbit with n = 1 or to orbits with n ≥ 3. Consequently, the n = 3 to n = 2 transition is the most intense line, producing the characteristic red color of a hydrogen discharge (part (a) in Figure 2.3.1 ). At the temperature in the gas discharge tube, more atoms are in the n = 3 than the n ≥ 4 levels. Because a sample of hydrogen contains a large number of atoms, the intensity of the various lines in a line spectrum depends on the number of atoms in each excited state. The n = 3 to n = 2 transition gives rise to the line at 656 nm (red), the n = 4 to n = 2 transition to the line at 486 nm (green), the n = 5 to n = 2 transition to the line at 434 nm (blue), and the n = 6 to n = 2 transition to the line at 410 nm (violet). Thus the hydrogen atoms in the sample have absorbed energy from the electrical discharge and decayed from a higher-energy excited state ( n > 2) to a lower-energy state ( n = 2) by emitting a photon of electromagnetic radiation whose energy corresponds exactly to the difference in energy between the two states (part (a) in Figure 2.11 ). As shown in part (b) in Figure 2.11, the lines in this series correspond to transitions from higher-energy orbits ( n > 2) to the second orbit ( n = 2). We can now understand the physical basis for the Balmer series of lines in the emission spectrum of hydrogen (part (b) in Figure 2.9 ). Bohr calculated the value of \(\Re\) from fundamental constants such as the charge and mass of the electron and Planck's constate and obtained a value of 1.0974 × 10 7 m −1, the same number Rydberg had obtained by analyzing the emission spectra. The negative sign in Equation 2.11 and Equation 2.12 indicates that energy is released as the electron moves from orbit n 2 to orbit n 1 because orbit n 2 is at a higher energy than orbit n 1. \)Įxcept for the negative sign, this is the same equation that Rydberg obtained experimentally.
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