- Title Pages
- Preface
- Introduction
- Chapter 1 Better accuracy from simple pendulums
- Chapter 2 A short history of temperature compensation
- Chapter 3 Scaling the size of a pendulum
- Chapter 4 Finding a pendulum’s axis of rotation
- Chapter 5 Does a pendulum’s axis of rotation shift with amplitude?
- Chapter 6 Some practical properties of quartz
- Chapter 7 Putting Q in perspective
- Chapter 8 The Allan variance and the rms time error
- Chapter 9 Transient temperature effects in a pendulum
- Chapter 10 Transient response of a pendulum to temperature change
- Chapter 11 Dimensional stability of pendulum materials
- Chapter 12 Variations on a Riefler bob shape
- Chapter 13 Bob shape
- Chapter 14 Rate adjustment mechanisms
- Chapter 15 Spring suspensions for accurate pendulums
- Chapter 16 James’ suspension spring equations
- Chapter 17 Barometric compensation with a crossed spring suspension?
- Chapter 18 Solid one-piece suspension springs
- Chapter 19 Stable connections to a pendulum’s suspension spring
- Chapter 20 Stability of suspension spring materials
- Chapter 21 Pendulum rod materials
- Chapter 22 The heat treatment of invar
- Chapter 23 The instability of invar
- Chapter 24 Position sensitivity along the pendulum rod
- Chapter 25 Fasteners for quartz pendulum rods
- Chapter 26 Effect of the pendulum rod on Q
- Chapter 27 Correcting the pendulum’s air pressure error
- Chapter 28 Pendulum air movement: A failed experiment
- Chapter 29 Pendulum air movement: A second try
- Chapter 30 Time error due to air pressure variations
- Chapter 31 Effect of the clock case walls on a pendulum
- Chapter 32 An electronically driven pendulum
- Chapter 33 Sinusoidal drive of a pendulum
- Chapter 34 Photoelectronics for pendulums
- Chapter 35 Check your clock against WWV
- Chapter 36 Electronic correction for air pressure variations
- Conversion Table
- Index
Putting Q in perspective
Putting Q in perspective
- Chapter:
- (p.27) Chapter 7 Putting Q in perspective
- Source:
- Accurate Clock Pendulums
- Author(s):
Robert James Matthys
- Publisher:
- Oxford University Press
Q is a clock oscillator's quality factor, a measure of how low its energy losses are with respect to the total energy stored in the motion of the oscillator. This chapter provides some new information on Q and looks at arguments both for and against it. The value of Q rests on two facts: that increasing a pendulum's Q means lower drive forces, which means less pendulum disturbance, which means a more accurate clock; and that historically (but not scientifically), a higher Q generally means a higher long-term accuracy. On a global scale of wristwatches to atomic frequency standards, Q is historically often proportional to long-term clock accuracy. This makes Q significant as an indicator of clock accuracy on a global clock scale. On the more limited scale of pendulum clocks by themselves, both temperature compensation and aging are more important issues than Q since their errors are bigger than the increased accuracy available from an increased Q.
Keywords: Q, quality factor, clock oscillator, pendulum, accuracy, pendulum clocks, temperature compensation, aging
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- Title Pages
- Preface
- Introduction
- Chapter 1 Better accuracy from simple pendulums
- Chapter 2 A short history of temperature compensation
- Chapter 3 Scaling the size of a pendulum
- Chapter 4 Finding a pendulum’s axis of rotation
- Chapter 5 Does a pendulum’s axis of rotation shift with amplitude?
- Chapter 6 Some practical properties of quartz
- Chapter 7 Putting Q in perspective
- Chapter 8 The Allan variance and the rms time error
- Chapter 9 Transient temperature effects in a pendulum
- Chapter 10 Transient response of a pendulum to temperature change
- Chapter 11 Dimensional stability of pendulum materials
- Chapter 12 Variations on a Riefler bob shape
- Chapter 13 Bob shape
- Chapter 14 Rate adjustment mechanisms
- Chapter 15 Spring suspensions for accurate pendulums
- Chapter 16 James’ suspension spring equations
- Chapter 17 Barometric compensation with a crossed spring suspension?
- Chapter 18 Solid one-piece suspension springs
- Chapter 19 Stable connections to a pendulum’s suspension spring
- Chapter 20 Stability of suspension spring materials
- Chapter 21 Pendulum rod materials
- Chapter 22 The heat treatment of invar
- Chapter 23 The instability of invar
- Chapter 24 Position sensitivity along the pendulum rod
- Chapter 25 Fasteners for quartz pendulum rods
- Chapter 26 Effect of the pendulum rod on Q
- Chapter 27 Correcting the pendulum’s air pressure error
- Chapter 28 Pendulum air movement: A failed experiment
- Chapter 29 Pendulum air movement: A second try
- Chapter 30 Time error due to air pressure variations
- Chapter 31 Effect of the clock case walls on a pendulum
- Chapter 32 An electronically driven pendulum
- Chapter 33 Sinusoidal drive of a pendulum
- Chapter 34 Photoelectronics for pendulums
- Chapter 35 Check your clock against WWV
- Chapter 36 Electronic correction for air pressure variations
- Conversion Table
- Index