Life in the Open Ocean. Joseph J. Torres

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or by scattering from small particles (Withers 1992).

      The energy of a photon of light is an inverse function of its wavelength, which is expressed as:

      (1.13)equation

      where E is the energy of a photon (joules) – joules (J) are the SI unit for energy = 0.24 calories, h is Planck’s constant (6.626 × 10−34 J s), υ is frequency (s−1), λ is wavelength (m), and c is the speed of light (2.998 × 108 m s−1)

      (1.14)equation

      where the energy of a photon of light varies from about 170 kJ mol−1 in red light to 300 kJ mol−1 in violet light. A mole is Avogadro’s number (6.022 × 1023) of photons.

      Absorption and Scattering

      When light impinges upon a molecule of water or a gas (or upon any form of matter), it may be either scattered or absorbed. When absorbed, the energy of the photon is entirely retained, at least for a while. When scattered, the energy of the photon is re‐emitted as another electromagnetic wave of the same wavelength and is scattered in all directions. Both processes are highly wavelength‐dependent.

      The wavelength of light that is maximally absorbed is an inherent property of a substance, a convenient property of matter that is exploited in a variety of ways, e.g. in spectrophotometry. In contrast, scattering of light is proportional to the inverse fourth power of the wavelength ( λ −4), which means that blue light is scattered far more readily than red. The blue sky above us is a result of the differential scattering of light by Earth’s atmosphere. Similarly, the blue water of the open ocean is partially the result of the same phenomenon, though it is also influenced by the reflection of the sky.

      Both absorption and scattering contribute to the attenuation of light in the open ocean. A beam of light traveling over a distance loses part of its energy, whether it be in air or water. The relationship is expressed as Lambert’s law:

      where I0 is the intensity of the incident light, I x is the intensity after traveling through distance x, and α λ is the attenuation coefficient, a function of wavelength.

Schematic illustration of attenuation of different wavelengths of light as a function of depth.

      Source: Lalli and Parsons (1993), figure 2.4 (p. 25). Reproduced with the permission of Pergamon Press.

      (1.16)equation

      where I0 is the intensity of light at the surface, ID is the intensity at depth, and k is the extinction coefficient of the seawater at that location (usually for the wavelength 550 nm), where ln denotes the natural logarithm. The second defines the compensation depth itself:

      (1.17)equation

      where Dc is the compensation depth, I0 is the light at the surface, and Ic, the compensation light intensity is an experimentally determined value that ranges between 0.001 and 0.01 cal cm−2 min−1 depending on the type of dominant algae and how well it gathers light.

Schematic illustration of light intensity and photic zonation as a function of depth in coastal and open ocean environments.

      Source: Lalli and Parsons (1993), figure 2.5 (p. 26). Reproduced with the permission of Pergamon Press.

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